Class 10th Mathematics CBSE Solution
Exercise 13.1- 2 cubes each of volume 64 cm^3 are joined end to end. Find the surface area of…
- A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder.…
- A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same…
- A cubical block of side 7 cm is surmounted by a hemisphere. What is the…
- A hemispherical depression is cut out from one face of a cubical wooden block…
- A medicine capsule is in the shape of a cylinder with two hemispheres stuck to…
- A tent is in the shape of a cylinder surmounted by a conical top. If the height…
- From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical…
- A wooden article was made by scooping out a hemisphere from each end of a solid…
Exercise 13.2- A solid is in the shape of a cone standing on a hemisphere with both their…
- Rachel, an engineering student, was asked to make a model shaped like a…
- A gulabjamun contains sugar syrup up to about30% of its volume. Find…
- A pen stand made of wood is in the shape of a cuboid with four conical…
- A vessel is in the form of an inverted cone. Its height is 8 cm and the radius…
- A solid iron pole consists of a cylinder of height 220 cm and base diameter 24…
- A solid consisting of a right circular cone of height 120 cm and radius 60 cm…
- A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter;…
Exercise 13.3- A metallic sphere of radius 4.2 cm is melted and recast into the shape of a…
- Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to…
- A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly…
- A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been…
- A container shaped like a right circular cylinder having diameter 12 cm and…
- How many silver coins, 1.75 cm in diameter and of thickness 2 mm, must be…
- A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with…
- Water in a canal, 6 m wide and 1.5 m deep, is flowing with a speed of 10 km/h.…
- A farmer connects a pipe of internal diameter 20 cm from a canal into a…
Exercise 13.4- A drinking glass is in the shape of a frustum of acone of height 14 cm. The…
- The slant height of a frustum of a cone is 4 cm and the perimeters…
- A fez, the cap used by the Turks, is shaped like the frustum of a cone (see…
- A container, opened from the top and made up of a metal sheet, is in the form…
- A metallic right circular cone 20 cm high and whose vertical angle is 60 is cut…
Exercise 13.5- A copper wire, 3 mm in diameter, is wound about a cylinder whose length is 12…
- A right triangle, whose sides are 3 cm and 4 cm (other than hypotenuse) is made…
- A cistern, internally measuring 150 cm 120 cm 110 cm, has 129600 cm3 of water…
- In one fortnight of a given month, there was a rainfall of 10 cm in a river…
- An oil funnel made of tin sheet consists of a10 cm long cylindrical portion…
- Derive the formula for the curved surface area and total surface area of the…
- Derive the formula for the volume of the frustum of a cone, given to you in…
- 2 cubes each of volume 64 cm^3 are joined end to end. Find the surface area of…
- A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder.…
- A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same…
- A cubical block of side 7 cm is surmounted by a hemisphere. What is the…
- A hemispherical depression is cut out from one face of a cubical wooden block…
- A medicine capsule is in the shape of a cylinder with two hemispheres stuck to…
- A tent is in the shape of a cylinder surmounted by a conical top. If the height…
- From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical…
- A wooden article was made by scooping out a hemisphere from each end of a solid…
- A solid is in the shape of a cone standing on a hemisphere with both their…
- Rachel, an engineering student, was asked to make a model shaped like a…
- A gulabjamun contains sugar syrup up to about30% of its volume. Find…
- A pen stand made of wood is in the shape of a cuboid with four conical…
- A vessel is in the form of an inverted cone. Its height is 8 cm and the radius…
- A solid iron pole consists of a cylinder of height 220 cm and base diameter 24…
- A solid consisting of a right circular cone of height 120 cm and radius 60 cm…
- A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter;…
- A metallic sphere of radius 4.2 cm is melted and recast into the shape of a…
- Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to…
- A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly…
- A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been…
- A container shaped like a right circular cylinder having diameter 12 cm and…
- How many silver coins, 1.75 cm in diameter and of thickness 2 mm, must be…
- A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with…
- Water in a canal, 6 m wide and 1.5 m deep, is flowing with a speed of 10 km/h.…
- A farmer connects a pipe of internal diameter 20 cm from a canal into a…
- A drinking glass is in the shape of a frustum of acone of height 14 cm. The…
- The slant height of a frustum of a cone is 4 cm and the perimeters…
- A fez, the cap used by the Turks, is shaped like the frustum of a cone (see…
- A container, opened from the top and made up of a metal sheet, is in the form…
- A metallic right circular cone 20 cm high and whose vertical angle is 60 is cut…
- A copper wire, 3 mm in diameter, is wound about a cylinder whose length is 12…
- A right triangle, whose sides are 3 cm and 4 cm (other than hypotenuse) is made…
- A cistern, internally measuring 150 cm 120 cm 110 cm, has 129600 cm3 of water…
- In one fortnight of a given month, there was a rainfall of 10 cm in a river…
- An oil funnel made of tin sheet consists of a10 cm long cylindrical portion…
- Derive the formula for the curved surface area and total surface area of the…
- Derive the formula for the volume of the frustum of a cone, given to you in…
Exercise 13.1
Question 1.2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid.
Answer:![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RDuRXhpZgAATU0AKgAAAAgABAE7AAIAAAAMAAAISodpAAQAAAABAAAIVpydAAEAAAAYAAAQzuocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGFobWFkIGF2YWlzAAAFkAMAAgAAABQAABCkkAQAAgAAABQAABC4kpEAAgAAAAM2NAAAkpIAAgAAAAM2NAAA6hwABwAACAwAAAiYAAAAABzqAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMjAxODowOTowNyAxMzoxMzoyOAAyMDE4OjA5OjA3IDEzOjEzOjI4AAAAYQBoAG0AYQBkACAAYQB2AGEAaQBzAAAA/+ELHmh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8APD94cGFja2V0IGJlZ2luPSfvu78nIGlkPSdXNU0wTXBDZWhpSHpyZVN6TlRjemtjOWQnPz4NCjx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iPjxyZGY6UkRGIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczpkYz0iaHR0cDovL3B1cmwub3JnL2RjL2VsZW1lbnRzLzEuMS8iLz48cmRmOkRlc2NyaXB0aW9uIHJkZjphYm91dD0idXVpZDpmYWY1YmRkNS1iYTNkLTExZGEtYWQzMS1kMzNkNzUxODJmMWIiIHhtbG5zOnhtcD0iaHR0cDovL25zLmFkb2JlLmNvbS94YXAvMS4wLyI+PHhtcDpDcmVhdGVEYXRlPjIwMTgtMDktMDdUMTM6MTM6MjguNjM3PC94bXA6Q3JlYXRlRGF0ZT48L3JkZjpEZXNjcmlwdGlvbj48cmRmOkRlc2NyaXB0aW9uIHJkZjphYm91dD0idXVpZDpmYWY1YmRkNS1iYTNkLTExZGEtYWQzMS1kMzNkNzUxODJmMWIiIHhtbG5zOmRjPSJodHRwOi8vcHVybC5vcmcvZGMvZWxlbWVudHMvMS4xLyI+PGRjOmNyZWF0b3I+PHJkZjpTZXEgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj48cmRmOmxpPmFobWFkIGF2YWlzPC9yZGY6bGk+PC9yZGY6U2VxPg0KCQkJPC9kYzpjcmVhdG9yPjwvcmRmOkRlc2NyaXB0aW9uPjwvcmRmOlJERj48L3g6eG1wbWV0YT4NCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgPD94cGFja2V0IGVuZD0ndyc/Pv/bAEMAAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAf/bAEMBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAf/AABEIASQBpwMBIgACEQEDEQH/xAAfAAEBAQEBAAIDAQEAAAAAAAAACQsKCAEHAgMGBAX/xABMEAABAQQFCQILBQYFAwUAAAAABgUHCAkBAgMKGQQ5V1l4mJm42BHXGCE6SXF5iJe2yNkSEzFBURUWYYGRoRciJDKxFNHwJ5KiweH/xAAYAQEBAQEBAAAAAAAAAAAAAAAAAgMBBP/EACwRAQABAgQEBAcBAQAAAAAAAAABESECAzFBBBJRkRMjYXEUIiQyobHBgdH/2gAMAwEAAhEDEQA/AO/gAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAB8U9nbR4/HR2+L+X6fifh/lporeP8/H+fZ4/F/U/XTWp+8qUdv5eP+tPip/l2f37SZcRUwLJ3JxTQ9Q1Jp1GUvPyx6bxkGh3srrJ1pYJhgOCqvZpWFDp/wBo5BQwG/arRaL+lALdtZKgqLVLVcnSyWyhUZWprKtXSuSqHLFjiM7h8nWeIre9InDyzTva+9KwiJ8rPzZi3CxExPpbXbX80tWyngPij8KPRR/wfJqrDNYiesRPeAAB0AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH1G8t7LrnNsFnqV77y0C61NNBvsFJs1SPEWSbQzAytYKW3qsxhpJmNRQtxjWFsolJWtPuk+xrO0pyrKbeitWsKtpXq0VLP7aoo8VFFPipop7f7/8A3Qcv06f/AB8blD2FQuYSn4LxyDkbWHfJIZ3gIhYQu0uyoeCsnzOvbb3HqLFjraJJKPnqLypZWuTQ9OmYFLqLRNJOzqvBVNsrK6WehWtEl0lphrNBtMBjNhqJRtpBoNVmZC1cvSikyhLZUoU3l7SyOwrWyfblqjm6pkzXbbCtLS0Y2VWqcUyhTlr9xXr5EpmlZfd5TWnKjycM74a66ze2qcyfNjJ6xWabWi228+1X9wD4o8dFFP8AA+SlAAAAAAAAAAA8AeGREVqnY/8A3jSsvqWDwyIitU7H/wC8aVl9Sw9/gDwB4ZERWqdj/wDeNKy+pYPDIiK1Tsf/ALxpWX1LD3+APAHhkRFap2P/AN40rL6lg8MiIrVOx/8AvGlZfUsPf4A8AeGREVqnY/8A3jSsvqWDwyIitU7H/wC8aVl9Sw9/gDwB4ZERWqdj/wDeNKy+pYPDIiK1Tsf/ALxpWX1LD3+AJ8+GLETTWppwoI/vHVo7P/UaVp+lFHipomVfnR29lP4/l+NJEh+sMkaareakF85xxE31I5A0Y8WdGW89JKRZyCWozGI0P2I32LS0XcthrPTVTyVApUkx6yPds6hgvleSsEolnWMKyStpRXs00l7Kx6s/tdler+n2qe3+VXt/8/ifl+Hb2ePt/v8A9vwoMo8PKzMObS9OXSsWmM2aXmNv45fw+IybfNMV1vE8sxWa3/2Py8D0RkRFUUUUYTsf/vGlZfUsPnwyIitU7H/7xpWX1LD3+DWtb9b9yIpER0iI7PAHhkRFap2P/wB40rL6lg8MiIrVOx/+8aVl9Sw9/gOvAHhkRFap2P8A940rL6lg8MiIrVOx/wDvGlZfUsPf4A8AeGREVqnY/wD3jSsvqWH+9JxVv3UKjTzCa0tKNlAMhuKNmsZprNVruXJlqXRrJajSs2e1VYpLNDx+KtbWzBTtS2pbamskql1UrLWwya3qpRNqnLKtlk1t7wAAAAAAAAAAAAAAAAAA8jvrjbgyhuVWRISI2LOGRwa2arByFVsxIvrf26506sayXa+Xthis1TspjrNSJ9vZSwa7XZDbYdm3rHJ61hWt2K2bGv222TW1J64AE+8WCVtrLoAd8qHLvAGLBK21l0AO+VDl3gFBABPvFglbay6AHfKhy7wBiwSttZdADvlQ5d4BQQAT7xYJW2sugB3yocu8AYsErbWXQA75UOXeAUEAE+8WCVtrLoAd8qHLvAGLBK21l0AO+VDl3gFBABPvFglbay6AHfKhy7wBiwSttZdADvlQ5d4BQQAT7xYJW2sugB3yocu8AYsErbWXQA75UOXeAUEAE+8WCVtrLoAd8qHLvAGLBK21l0AO+VDl3gFBABPvFglbay6AHfKhy7wBiwSttZdADvlQ5d4BQQAT7xYJW2sugB3yocu8AYsErbWXQA75UOXeAUEAE+8WCVtrLoAd8qHLvAPRjmIhHBxKplpLuHZ9jpX+opiqLLUo1Vc5V5KVeskWWosiZTIazSTDRbyDbikYlm38mYTdZDZtWFXr1MpsrBrMW0tbCrVt7C3tfvgAAAAAAAAAAAAAAHx2UfpR/Q+QAAAAAAAAAAAAAAAAAAAAAAAAAAAAGdHOtnXzhoapwsQcGUGEQLeZiMZbch+R7l3PpGHhwj0la0G+8xxTm1hUTCZoUbkFYvlg31SvFk1aE6xrTKVBlFplLbqJxM1Pu6uT5PRouGYNMs8sidv6wGVB8CwaAMSu+P6NZgPCgQnRkMSu+P6NZgPCgQnRkafIAzBsSu+P6NZgPCgQnRkMSu+P6NZgPCgQnRkafIAzBsSu+P6NZgPCgQnRkMSu+P6NZgPCgQnRkafIAzBsSu+P6NZgPCgQnRkMSu+P6NZgPCgQnRkafIAzBsSu+P6NZgPCgQnRkMSu+P6NZgPCgQnRkafIAzBsSu+P6NZgPCgQnRkMSu+P6NZgPCgQnRkafIAzBsSu+P6NZgPCgQnRkMSu+P6NZgPCgQnRkafIAzBsSu+P6NZgPCgQnRkMSu+P6NZgPCgQnRkafIAzBsSu+P6NZgPCgQnRkMSu+P6NZgPCgQnRkafIAzBsSu+P6NZgPCgQnRkeEozJx14RY9LAc3GLEhF3DU369RmvPYybqOhZcD71WqzbT98UiymvUbTs3TuMeE3ELb17BV5L+w7Vv5Wjm8pmPTXrZPaKtK5JaJ3XmMwO+p50twmwG67mMitA+ioX4eb09GO41FRHQ1v/AI93juVeTVblZGrfE6sklXa1ZJKluoBtWdVMreKtLqVm0WSxSzcT9alvJzJ/tV2ZTlGT02uSVqttbffGGpfH9JUwHivoTrNOvq655imBn0xMc38QJf8AAzBsNS+P6SpgPFfQnWaMNS+P6SpgPFfQnWaafIAzBsNS+P6SpgPFfQnWaMNS+P6SpgPFfQnWaafIAzBsNS+P6SpgPFfQnWaMNS+P6SpgPFfQnWaafIAzBsNS+P6SpgPFfQnWaMNS+P6SpgPFfQnWaafIAzBsNS+P6SpgPFfQnWaMNS+P6SpgPFfQnWaafIAzBsNS+P6SpgPFfQnWaMNS+P6SpgPFfQnWaafIAzBsNS+P6SpgPFfQnWaMNS+P6SpgPFfQnWaafIAzBsNS+P6SpgPFfQnWaMNS+P6SpgPFfQnWaafIAzBsNS+P6SpgPFfQnWaeCo3mxeLpb1DtK0acXEfTmqz4aqzrO0orzE1W8OlRUu8rJH97KK1Dr3+PCqMaljUL1K1qKyipYFNvQ1P9LTb1rK3+617jgDvzXmu/bc+UkDsJlpKxVraXLACu1yqG6sFosYK4WVctFUrW811GqFYpm64tFNVuKhTqBs1rRutpvN9rtOu2FG223a2ttlFvb022UU21pXr5TX95k/ZTma0lq7AMG/Lm7UoEBP53OdMjI2ApafMbNiKAk/nc50yMjYClp8xs2IoCAAAAAAAAAAAAzBplnlkTt/WAyoPgWDQ0+TMGmWeWRO39YDKg+BYNANPkAAAAAAAAAAAAAAAAAAAAAAAAzA76nnS3CbAbruYyK00/DMDvqedLcJsBuu5jIrQOv2655imBn0xMc38QJf8AIAXXPMUwM+mJjm/iBL/gAAAAAAAAAAAAAAAAAAAAAA4A7815rv23PlJO/wAOAO/Nea79tz5SQOvqU5mtJauwDBvy5u1KBE/ZTma0lq7AMG/Lm7UoEBP53OdMjI2ApafMbNiKAk/nc50yMjYClp8xs2IoCAAAAAAAAAAAAzBplnlkTt/WAyoPgWDQ0+TMGmWeWRO39YDKg+BYNANPkAAAAAAAAAAAAAAAAAAAAAAAAzA76nnS3CbAbruYyK00/DMDvqedLcJsBuu5jIrQOv2655imBn0xMc38QJf8gBdc8xTAz6YmOb+IEv8AgAAAAAAAAAAAAAAAAAAAAAA4A7815rv23PlJO/w4A7815rv23PlJA6+pTma0lq7AMG/Lm7UoET9lOZrSWrsAwb8ubtSgQE/nc50yMjYClp8xs2IoCT+dznTIyNgKWnzGzYigIAAAAAAAAAAADMGmWeWRO39YDKg+BYNDT5MwaZZ5ZE7f1gMqD4Fg0A0+QAAAAAAAAAAAAAAAAAAAAAAADMDvqedLcJsBuu5jIrTT8MwO+p50twmwG67mMitA6/brnmKYGfTExzfxAl/yAF1zzFMDPpiY5v4gS/4AAAAAAAAAAAAAAAAAAAAAAOAO/Nea79tz5STv8OAO/Nea79tz5SQOvqU5mtJauwDBvy5u1KBE/ZTma0lq7AMG/Lm7UoEBP53OdMjI2ApafMbNiKAk/nc50yMjYClp8xs2IoCAAAAH1O7V7brX1p/Kla595SAeqk7BuNxKZcp3cK1NLphZEo2M0KzKUCZtGyn2022RYt5NtGzoyZRMivaVbawt/sVK+T1bSp9xX+2BX+T3077dSoAAAAAGYNMs8sidv6wGVB8CwaGnyZg0yzyyJ2/rAZUHwLBoBp8gAAAAAAAAAAAAAAAAAAAAAAAGYHfU86W4TYDddzGRWmn4Zgd9TzpbhNgN13MZFaB1+3XPMUwM+mJjm/iBL/kALrnmKYGfTExzfxAl/wAAAAAAAAAAAAAAAAAAAAAAAHAHfmvNd+258pJ3+HAHfmvNd+258pIHX1KczWktXYBg35c3alAifspzNaS1dgGDflzdqUCAn87nOmRkbAUtPmNmxFASfzuc6ZGRsBS0+Y2bEUBA/H/dR+dFH8vH/wCfyPAkfmURDZU4OhJQ6O0eK8trvEWKed686o5tTOcSz2EO5BtVGrXeQrHdWz63tuSQVZd/sdl0oNJ5XbPEsrZLqVa2C5qpVV5MksrTWU+/O2jt7Pz8f6+mn+B+FNT9P6f/AL2mGPK8TBMZt/lxRSJpr7fn9wvLzIypi0TWYpW+9a03vfoh5JQaFtkTt4uECz4cV/Dqj0HG9EUyEgm1k1HKZazmUzbNV1mVQgGV/g29Z5tShuu2qMhnJtTVKbaqmK32mPSjFUrrCplNvktu6aeyir29viqV6Kf/AH0Ufz7P1o7ewVPFRTT2f7vs0UU0+n0fwp8R+q2ppo+z4u3/AC2tH/yq0/8AcZcRycNi5aTHC8LlxhiZp9Nkx816zFbV5prNd5eTBlcsZ/rPE4vWObFhmnaPbpo/6FH4Ueij/gCj8KPRR/wDdvh0j2j9PkAB0MwaZZ5ZE7f1gMqD4Fg0NPkzBplnlkTt/WAyoPgWDQDT5AAAAAAAAAAAAAAAAAAAAAAAAMwO+p50twmwG67mMitNPwzA76nnS3CbAbruYyK0Dr9uueYpgZ9MTHN/ECX/ACAF1zzFMDPpiY5v4gS/4AAAAAAAAAAAAAAAAAAAAAAOAO/Nea79tz5STv8ADgDvzXmu/bc+UkDr6lOZrSWrsAwb8ubtSgRP2U5mtJauwDBvy5u1KBAT+dznTIyNgKWnzGzYigJP53OdMjI2ApafMbNiKAgAAAPjso/Sj+lB8gAAAAAAGYNMs8sidv6wGVB8CwaGnyZg0yzyyJ2/rAZUHwLBoBp8gAAAAAAAAAAAAAAAAAAAAAAAGYHfU86W4TYDddzGRWmn4Zgd9TzpbhNgN13MZFaB1+3XPMUwM+mJjm/iBL/kALrnmKYGfTExzfxAl/wAAAAAAAAAAAAAAAAAAAAAAcAd+a8137bnyknf4cAd+a8137bnykgdfUpzNaS1dgGDflzdqUCJ+ynM1pLV2AYN+XN2pQICfzuc6ZGRsBS0+Y2bEUBJ/O5zpkZGwFLT5jZsRQEAAAAAAAAAAABmDTLPLInb+sBlQfAsGhp8mYNMs8sidv6wGVB8CwaAafIAAAAAAAAAAAAAAAAAAAAAAABmB31POluE2A3XcxkVpp+GYHfU86W4TYDddzGRWgdft1zzFMDPpiY5v4gS/wCQAuueYpgZ9MTHN/ECX/AAAAAAAAAAAAAAAAAAAAAABwB35rzXftufKSd/hwB35rzXftufKSB19SnM1pLV2AYN+XN2pQIn7KczWktXYBg35c3alAgJ/O5zpkZGwFLT5jZsRQEn87nOmRkbAUtPmNmxFAQAAAAAAAAAAAGYNMs8sidv6wGVB8CwaGnyZg0yzyyJ2/rAZUHwLBoBp8gAAAAAAAAAAAAAAAAAAAAAAAGYHfU86W4TYDddzGRWmn4Zgd9TzpbhNgN13MZFaB1+3XPMUwM+mJjm/iBL/kALrnmKYGfTExzfxAl/wAAAAAAAAAAAAAAAAAAAAAAcAd+a8137bnyknf4cAd+a8137bnykgdfUpzNaS1dgGDflzdqUCJ+ynM1pLV2AYN+XN2pQICfzuc6ZGRsBS0+Y2bEUBJ/O5zpkZGwFLT5jZsRQEAAAAAAAAAAABmDTLPLInb+sBlQfAsGhp8mYNMs8sidv6wGVB8CwaAafIAAAAAAAAAAAAAAAAAAAAAAABmB31POluE2A3XcxkVpp+GYHfU86W4TYDddzGRWgdft1zzFMDPpiY5v4gS/5AC655imBn0xMc38QJf8AAAAAAAAAAAAAAAAAAAAAAABwB35rzXftufKSd/hwB35rzXftufKSB19SnM1pLV2AYN+XN2pQIn7KczWktXYBg35c3alAgJ/O5zpkZGwFLT5jZsRQEn87nOmRkbAUtPmNmxFAQAAAAAAAAAAAGdHOtkoTholZwsQcZsGEPzeaaMajch+WDl3wJGIdwjrVaz2+7NxTm0fUU6ZpUb70mvke30svEa1aU62bTJk/lFnlLEqKNM1/u62T5RTouADMGw1L4/pKmA8V9CdZow1L4/pKmA8V9CdZpp8gDMGw1L4/pKmA8V9CdZow1L4/pKmA8V9CdZpp8gDMGw1L4/pKmA8V9CdZow1L4/pKmA8V9CdZpp8gDMGw1L4/pKmA8V9CdZow1L4/pKmA8V9CdZpp8gDMGw1L4/pKmA8V9CdZow1L4/pKmA8V9CdZpp8gDMGw1L4/pKmA8V9CdZow1L4/pKmA8V9CdZpp8gDMGw1L4/pKmA8V9CdZow1L4/pKmA8V9CdZpp8gDMGw1L4/pKmA8V9CdZow1L4/pKmA8V9CdZpp8gDMGw1L4/pKmA8V9CdZow1L4/pKmA8V9CdZpp8gDMGw1L4/pKmA8V9CdZp4SjLk4XhFq0sB8cYsN8XkSqgqWbMdex1LVe6y44XrMpm2f74q9lMmqxXZvXfm8JhoawtLdV5X+3LZgZIjmApmzTUrZRZKtU5HZqHXmAGUbC/ENenoOHGIqHCGuH+Ph2blHaUNyqjEPhjWKutGTSrFU3V+2q9CmW8KioUrSotViqW6369DeUdv9ms06cmyf7rJatWxsfvnErvj+jWYDwoEJ0ZGnyAMwbErvj+jWYDwoEJ0ZDErvj+jWYDwoEJ0ZGnyAMwbErvj+jWYDwoEJ0ZDErvj+jWYDwoEJ0ZGnyAMwbErvj+jWYDwoEJ0ZDErvj+jWYDwoEJ0ZGnyAMwbErvj+jWYDwoEJ0ZDErvj+jWYDwoEJ0ZGnyAMwbErvj+jWYDwoEJ0ZDErvj+jWYDwoEJ0ZGnyAMwbErvj+jWYDwoEJ0ZDErvj+jWYDwoEJ0ZGnyAMwbErvj+jWYDwoEJ0ZDErvj+jWYDwoEJ0ZGnyAMwbErvj+jWYDwoEJ0ZDErvj+jWYDwoEJ0ZGnyAMwbErvj+jWYDwoEJ0ZHgqN5j3i6ZDQ7SrGnCPH0+Ws56qs6rtKa8uxVu8pTtLw6yR/eymtS69wbvajZpbNCCStWiqoqG/TYUMv/S0WFa1t/vde4AeDJaSTVaJlywAoRcpduo9aI6CuFlIrRKq1gtdOKhJqZhOLRTKbiXU6fbNWzbrFbzAa7MrsdRsRt2VlbZPb2FNjlFFjaVK+TVPeYAHilFOzeCyI94jn05cxK1i7ZewjwVuzS6mqtJl16jZWToXzzCFav2N+yP2tS3mVVTbDfi7TKKWw2GJZMJSUqmyqpa3tK6eUtRh+1gAAAAAAAAAAAAAAAD6HfPEI4OGpMs1dxEvsdK4JFNpRZElGUrn1PJSrqUi1FFlrKa7WZqYZzeXjcTbEtG/lLCYTXbNkwqlevlNrYMltWllYVqthb29l5zxYJW2sugB3yocu8ACggJ94sErbWXQA75UOXeAMWCVtrLoAd8qHLvAAoICfeLBK21l0AO+VDl3gDFglbay6AHfKhy7wAKCAn3iwSttZdADvlQ5d4AxYJW2sugB3yocu8ACggJ94sErbWXQA75UOXeAMWCVtrLoAd8qHLvAAoICfeLBK21l0AO+VDl3gDFglbay6AHfKhy7wAKCAn3iwSttZdADvlQ5d4AxYJW2sugB3yocu8ACggJ94sErbWXQA75UOXeAMWCVtrLoAd8qHLvAAoICfeLBK21l0AO+VDl3gDFglbay6AHfKhy7wAKCAn3iwSttZdADvlQ5d4AxYJW2sugB3yocu8ACggJ94sErbWXQA75UOXeAMWCVtrLoAd8qHLvAAoICfeLBK21l0AO+VDl3gDFglbay6AHfKhy7wAKCAn3iwSttZdADvlQ5d4AxYJW2sugB3yocu8ACggJ94sErbWXQA75UOXeAMWCVtrLoAd8qHLvAAoICfeLBK21l0AO+VDl3gDFglbay6AHfKhy7wAKCAn3iwSttZdADvlQ5d4AxYJW2sugB3yocu8ACggJ94sErbWXQA75UOXeAMWCVtrLoAd8qHLvAAoICfeLBK21l0AO+VDl3gDFglbay6AHfKhy7wAKCAn3iwSttZdADvlQ5d4AxYJW2sugB3yocu8ACggJ94sErbWXQA75UOXeAMWCVtrLoAd8qHLvAAoIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP4RcrpHu0RqjXjxVkmneIhJstoN5VrVdN9kpZHpVhsuzotGi1W+qG5WyRhsRjZNUq1re3arct7KzqWNNpaV69FWmitZfzTon4ObiASGTvBcG952L7kFlOX5ayclXTplyl3kI+3aTJr1LNrMuhUotst1g2jWyatWq/9RZVLf72wor1alpZ0U2lSml/NfTT/ALHeOsD7gAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAS4m0tVhp+DJU5S3srbaZZ2UPihp+5enk6jYjBT7gVHUiSdg1kpEc8lpLFhK1NV3VOMUzLZLxlswFImW+k1KnmHXSKrqppGZXl6tTf1tKfX+RvGy2N1UZKvHfxCN1rxOsxuKeMBxttRRDnEs0Mocu7RkMP/AAiYTLt1Mn0dYOXQrDSLl1cn0685+FehTo22U6re8pFooVUnEvYqn8qfz8dHo7Oz+9P40+P8T4o8XbT+dNP4/wAPH/T8P5fl+PjzyZ8L4uL4pxzXWYiIn4S8RH3R9PS9fu08vAjN8yOG2nDNd71pF7emk+0v3gA0WAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP/2Q==)
In the figure above two cubes are joined end to end such that a cuboid is formed.
Volume of cube = 64 cm3
We know that,
Side of cube = ![](data:image/png;base64,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)
= ![](data:image/png;base64,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)
= 4 cm
Side of cube = 4 cm
Now these two cubes when joined, we can see from the figure that, their lengths are added and breadth and height remains the same.
Length of new cuboid = 8 cm
Height of new cuboid = 4 cm
Width of new cuboid = 4 cm
We know that:
Surface Area = 2(lb + lh + bh)
Surface Area = 2(8 x 4 + 8 x 4 + 4 x 4)
= 2 x 80
= 160 cm2
Question 2.A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.
Answer:![](data:image/png;base64,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)
According to the question,
Radius (r) of the cylindrical part = 7cm
And
Radius(r) of the hemispherical part = 7 cm
Height of hemispherical part = Radius = 7 cm
Height of cylindrical part (h) = 13 - 7
= 6 cm
Now,
Inner surface area of the vessel = CSA of cylindrical part + CSA of hemispherical part
= 2
rh + 2 πr2
Inner surface area of vessel = (2 ×
× 7 × 6) + (2 ×
× 7 × 7)
= (44 × 6) + ( 44 × 7)
= 44 (6 + 7)
= 44 × 13
= 572 cm2
Question 3.A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. The total height of the toy is 15.5 cm. Find the total surface area of the toy.
Answer:As per the question:
![](data:image/png;base64,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)
The radius of the conical part = 3.5 cm
And,
Radius of the hemispherical part = 3.5 cm
Height of hemispherical part = Radius (r)
= 3.5 cm
=
cm
Height of conical part (h) = 15.5 - 3.5 = 12 cm
for cone we know that,
r2 + h2 = l2
where r is the radius of base, l is the slant height and h is the height of cone.
Slant height of the conical part
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= ![](data:image/png;base64,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)
= ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAiCAMAAAC3OnOQAAAAAXNSR0IArs4c6QAAADZQTFRFAAAAAAAAAAA6AGa2OgAAOgA6OpDbZgAAZgA6Zrb/kDoAkDo6kNv/25A6/7Zm/9uQ//+2///bLw+YXQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAd0lEQVQoU62QSxLAIAhDQ/9atXr/yxb8d9FFO2aTQSCMD/gqvxPNvGSJaDLwh4Fjh1U16Vqftd3yvOwBLhlwLbJjS4mgeVC6TiGcJvblHBHXmk1yBkvSOw1Of4krDHO7MuzGI8NOkWFTZZieGsNKmBkWFYY/PncD2vQDCljG4WwAAAAASUVORK5CYII=)
Total surface area of toy = CSA of conical part + CSA of hemispherical part
= πrl + 2πr2
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 137.5 + 77
= 214.5 cm2
Question 4.A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid.
Answer:From the figure:
The greatest diameter possible for the hemisphere is equal to the cube's edge= 7cm
![](data:image/png;base64,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)
Radius (r) of hemispherical part = 7/2cm
The total surface area of solid = Surface area of cubical part + CSA of hemispherical part - Area of the base of hemispherical part
= 6 (Edge)2 + 2Ï€r2 – Ï€r2
= 6 (Edge)2 + πr2
Total surface area of solid = 6 (7)2 +(
×
×
)
![](data:image/png;base64,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)
= 294 + 38.5
= 332.5 cm2
Question 5.A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.
Answer:![](data:image/png;base64,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)
According to the question,
Diameter of hemisphere = Edge of cube
= l
Radius of hemisphere = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAAiCAMAAACk7TNkAAAAAXNSR0IArs4c6QAAAEJQTFRFAAAAAAAAAAA6ADqQAGa2OgA6OpDbZgAAZgA6ZgBmZrb/kDoAkNv/tmYAtv//25A625CQ2////7Zm/9uQ//+2///bZ+Q6jgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAXUlEQVQoU42P2w6AMAhDwevcplNk//+rBmqMiT6sLyfQkhSij4QH7NbJUVN06rI5pT+cBbHHDnm3QE2MuzYx1BZ+p3RmK6ohk3TZnXMECwoICt49bZJIdsaMj350AWFTAn3O2GWxAAAAAElFTkSuQmCC)
Curved Surface Area of hemisphere = 2 π r2
Surface Area of cube = 6(Edge)2
Total surface area of solid = Surface area of cubical part + CSA of hemispherical part - Area of base of hemispherical part
= 6 (Edge)2 + 2Ï€r2 – Ï€r2
= 6 (Edge)2 + πr2
TSA of Solid = 6l2 + π x (
)2
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAL0AAABCCAYAAAACE9f8AAAMn0lEQVR4Xu2dZcwtSRGGn8Xd3d3d3d1ZYHH3YMGDBBJgcQ2W/YG7Lu4Q3N0tuDsEXyxPtibMnp0538yZ6rlzzu1ObjZ775lqe6e75K2aA6itrsB+tgIH7GfzrdOtK0AF/bJB4P6cHPjVsoc5enQnBP4J/G30kwkPVNAnLGIhEccBngv8C7gH8O9C/ewLsQcBDwP873fmHkAF/dwrPqw/T8LXBCAeABw27LGt+tWNgacANwG+NOfIK+jnXO1hfQn4NwLfB+65o4BvVuIWwOOBGwBfHbY8039VQT99DTMlHB14GXBiwJPwr4nClXlu4O/A14B/JMqeIur+wH2Bq8SLPkXWoGcr6Act0yw/ci8eB9wKuDTwi6RejxI2wbGBzwGXBW4PPB04BPhvUj+bivFFfylwZuCqwF82FTT0uQr6oStV/nfXBV4F3BR4T2J3AlxV6cMtmerRrwduFzdLYncbiToV8AngzYAnf9EXsYJ+oz1Kf8hN/2SA/e6Jm37UAJKyn9SyD/QMeeqrPl1qIXbDgcArQ7/PfOmPtFkV9On4HS3QPVDNuD5wUeBnoyX0P3BM4PPAGYGzAz9v/fQDwLmA8wG/S+xzU1G+oBrwjlP17o+bCtrruQr6vVao/L9fPFSPRwNPLtDd+QE9Qh9tyT5WnPTGAOzfQNES2oVinE8M+6bImCroiyzrYKEamW+J0/YiM564lwA+FgGipw4ebfkfiseXANcGLgz8pESXFfQlVnW4TK9xDczHAI8d/tikX+otORT4M3Dbhejz7Ql583wkvEsPnzTTnocr6Eus6nCZemuuA3it62GZ0s4aRuBJAW8QVaU/dAjUO3K58NwUdw9uMCHH/r6wNy4I/HoDGWsfqaDPXtHh8vRLfzE8Njcb/ljvL08PXBF4MKBReLEIRLUfsJ/Lx2+WEpzqmtBtwpV6F+AFCWtzBBEV9NkrOlzeQ8KNqM9cr0VGE+wfAn4ACJx2E+z+0XXZkNf0Fn1lQYZsM95TAt8MTo4Bq1Sy3a6Dfqmh96OF3noW4DzAbzMQD5wa+AZwn5Wgkx6cKwDPB/7T6ut+LSZn0hDSxLwNuFoYtM4pre0q6JceepcD84XQXa+XtptwLeCt4Q36VshVjVJF0GBuIp3u+/EAXZf3Tuw/U9TdIn4hL+fZmYJ3FfRLD73LnnxenMjPSdxQjVcN40af11Pz3tD1u7p5JHBwYv+Zos4bNo9BNF/mNGrCLoJ+G0Lv+uaNwF4S+HQSUtbp80ldzCrmuBFNPgHgC5AWNd5F0C899N5spuqFunbWZp4mjL97LYRElvGGSECTa3+ZIKRlyNzZHNklh97llnwd+Ez4y9uG5ZRNVa0RJHJpGn1+irwlPKv6ZdDOF1l1MKXt4knftzBLCb0bYn9HMApvnbKLhwt5Wui+uiFNFNmF1lCg5dtrp6W0/QX0Swq9GxE1gSPTiFSfN3T/vQ7/fApQ9pEQKQnaPPKEdLmm3IrbDvptDL1LqDJ5wwwpaQgZ7bQtfd5TMbt5aOgR0hW8STO49Nmo7DDmee0UqyX8NKgaKemTSwW9SRUGWDRKnahv+Ls7jJltDL2/C7gmcPXw048BQd9vzbp6UxjGRjKzm8b3jYBTAJLAjg88qIfbY9/Oz4jwp4BXRN0exzeW+qDnxoix1OhzAr/MmNgSQW+oXH+ztV6a0hAGWJ4Rf7eaOzpn6N1gjuOQ3yJLcWxzrPLazVaSTPXlsQJ6fq+6JNAafV4OjnSE7HaSSCoXfNpIfTx8bzArHUz1unjomeGly/IcWTVylgZ6Q/Ke6BKjTHFr2jvDSHMz27me/vucoXcZjO+PBOZNqAO+NGYyGZHVi/PdBFSqcrgmcs8FmsC0kkI6USu8TdoOypYM1tVMRVSV8TbQi9bF9Bw6beka5s6qWvnHF2ByWxLonaB8CyNvut/aETivVoM5Xqm/X5n1nKH3qaAXEJ7u2iJnAH48eQcP17MFvQeD0dUbhn5fwm2pamMf6+yRJpIqPVhP1dRmRPbKEVVePfA2kr0k0DcuRROjXzhiNnOG3qeC3uctaiQRTuBroGU0XXt3CEKZJDbLAaaF7WOAYsVbWC+KsYC+W+qOsX+qgBlZWTsNesHrQjWheQFi1FIdvs8Amjv0ngV6cSRwNlGR+l4Sx3Yy4NsFAG+fjT5vMdl1ebWNPm9WWFtF3fTlbkDvje5LN7kNOem9Pk83wV3lIPW+qHP2+Vkdh5O7Uui76u5/ClBYB+ZHYdyuGk5zh96zQO98VQMyQT8ZDHsIMNtKfd5b+M49v23r877UGRUN9slJ7+DfENk4my6sYPcK1v3U1bTSNX7sS739xS1AeJpbmMjyFdJg2y/O3KH3qaDX9adOrwqSpdNvuidjnxuqz6u+aV+4Nxltn4A+Y+B7ybDknGA4W9Q1XOVP64fWyNUt1y4ENHfofSronaduWD031qLxBhvbsnX1rv5XNYCh+vydwrPjweXeTG06Nz4e6pQ2n3ylyW2IejO5kwEC2v5YfdgGNdrNG8BbwhO/ySctEXo3KGY2UV/kUZfjzaOMdh+/RVD60nYZqW0X3AXW3HwDlmzWnwzV518XZQmz9PljhAag61M3b0rgbSmgF2TqiwYzusBg5NVTUT+tL4VFikqE3o04Ggl2sbvaENBrd5iW11epTD+/FXr1gjjnbWiNPq/aqXemqzWlAnU+ZOnz+vo97LxhvR1TitouBfQuonUMb7kH6FUNmkhg6dB718ZOVW+UaVheP7c3ljfXNrRGn5da4Pi7moZ5tj7vzSv3xjIgHoabRMGPNNYhoHcyhs5PNGF39MR4sq374kTj3+0KXTfqjbyVJuAxV+i9Pe0M0D8iStbJtnzmhDWd61Ex4rrrURN4ukS7WrY+bx+qNdp66vXSU2ZjWap6qEqoQ2/aZNmp464btO5HTwqNoNXglAv+wQjAyFKcM/SeDfqGI77O9bfpOpd4zkCaH3H4TdyyfbZMtj7vXPTN6wnS9+/tmNKGnPQpHQ0U8qhgH1rrpPHJO0a5HhKOZCb6Rbo5Q+/ZoG9OL19idfs5vDHNHPxS4diKYY5RO8RvYMnt6WqyIa3uoEPCW3kK36Yt3+9t6QV6YOQgDITR+p8tDfTytv34lmqE3yKSVmyqmLTSu658WnKO0Pvq6mWoNw1dVrCrLqj6zdFkYEoL8ODQEbCuabD7VRQ9JrpW/X/3Qv1aZ8IT4mVVJVXdNO6g+utNbqGpHwYFeewLtjqmV4e3zPo3vngpbWmgbyZl3XQNVU90gxMyE7tOxNKh9xKgb3Tka/QY7SkbuyJEz4rxDU9i3Yl7gb7EGMbK1INm1tSZ4uVr19YfK+sIv18q6CdNquDDGSe9w/Mbqt5k5n2WyHRaXQJpA9a/lwe/LaA3h0IbT7VJmy6ttF8F/bg3xGveDwbowpuSutbkfnp966Yt2VShVD+sFKbfe1tAr0v3tfGyWso8rVXQpy3lKEHSEeQa+RL58YFSer3yBbvGoJXOtgn0L4qUQ4ORKckjzQ5V0I/CauqPBaLeCZmlJVL7HKwfXTDqq3GpbbQtoNcoNqYjC9WbaWxu7dqNqqBPxfEoYX6IQQKV7ljzgbObLl49Nk3FhW0CvUVtLUSb6qqsJ302xMbLk3ymyiGzVL17NQ1yvMT/P6HnQ+KcEd/D4q+3CfRS2U0RVPXT/Zna6kmfupyjhZnA7QcZDOGrw2Y1jWP14DZlYFtA7yHg2I3w9iWfT1qnCvpJyzf5YQ1NeU3ug5+vzyjHZ+6tevDLV0a3LaA3OKm6pwEr/SG9VdCnL+logVZ5sHT3QXG6jRbQekCVST3Y2jyrqZXbAHqzyTzlZZ9aw79Iq6AvsqyjhApUq38Z7veEnkKflaEqfaBLDzYCrK5v8VjpAibip37WZtSsu3/8rIhbWONmk6yyQUOooB+0TMV/JMfFIqVyWrzes1uTsaXcpQan9DTpuvWmOiR7AdryKuhLru442eqxUhPU7bNP4KWDvuEG6cE6sPQHnSvoxwGz5K9lmMrDMXdBHvkUmsPqOI0AqyvrvlxXs6bk/NbJllLuh9U0Xi0VU7RV0Bdd3tHCjUTKhrRIkn72qVx7DUMBpVyDYTbpD9oN8lmK6c0jZm4gygCdVHE9WcVbBX3xJR7dgVRagW9yuV6YXW7mOxuIemjkSM8y1wr6WZZ5dCeyIt8ejE7TI3exmUF2aHxTatY5VtAvF06e+FJrBYQfGZuq6ixpptoVBs884XXXztoq6Gdd7trZElaggn4Ju1DHMOsKVNDPuty1syWsQAX9EnahjmHWFaign3W5a2dLWIEK+iXsQh3DrCvwP1fsrGGXkpuhAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
Question 6.A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends (see Fig. 13.10). The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area.
![](data:image/png;base64,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)
Answer:According to the question,
Radius (r) of cylindrical part = Radius (r) of hemispherical part
![](data:image/png;base64,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)
Length of cylindrical part (h) = Length of the entire capsule - 2 × r
= 14 - 5
= 9 cm
Surface area of capsule = 2 × C S A of hemispherical part + C S A of cylindrical part
( Curved Surface Area of cylinder = 2Î rh, Curved Surface Area of Hemisphere = 2Î r2)
= 2 x 2Ï€r2 + 2Ï€rh
![](data:image/png;base64,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)
= 70 x ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAhCAMAAAAxrgE+AAAAAXNSR0IArs4c6QAAADlQTFRFAAAAAAAAAAA6AGa2OgA6OpDbZgAAZgA6Zrb/kDoAkDo6kGaQkNv/25A62////7Zm/9uQ//+2///bgd/UBAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAaElEQVQoU62Q2xKAIAhEoftFM/3/jw1ymXozG/flDAILQlRSnJh7KQLj7Ch0jozafg7udjH6MZuCQdtFoEcI6mtYclaoY5gfltarzav7S7Xtv+rTqhPxbXFI+0Fpyzcz2ZEQt01/3/oC9w8DLcU9cqQAAAAASUVORK5CYII=)
= 220 mm2
Therefore, Surface Area of capsule = 220 mm2
Question 7.A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively, and the slant height of the top is 2.8 m, find the area of the canvas used for making the tent. Also, find the cost of the canvas of the tent at the rate of Rs 500 per m2. (Note that the base of the tent will not be covered with canvas)
Answer:Given:
Height (h) of the cylindrical part = 2.1 m
Diameter of the cylindrical part = 4 m
Radius of the cylindrical part = 2 m
Slant height (l) = 2.8 m
Solution:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARkAAAEVCAAAAADxuc6wAAAABGdBTUEAALGPC/xhBQAAAAFzUkdCAK7OHOkAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAA7DAAAOwwHHb6hkAAASFUlEQVR42u2dC2gVx/7Hv7PnkZOTk5OkptfYNGqNuU2s/r01vWp9psY+bmm1im0vplIlFitVlF7JpaWiKIpUUqRBbpFKCIYgioiIGCRIEBEJIQQJQSRcQiCEICEgEsKBYf77PO9JzmN3z+Y6X2z6O3t2Zn77ObOzs/MEE0ou5NoBx0qQ4UmQ4UmQ4UmQ4UmQ4UmQ4UmQ4WmOkRnyyX+oLUnNMTIDKCl6aA+bOUcGKK08bkdSc4QM1f8bf0dGg5V2JDlHyLATDb3aPUQA3y92pDhHyFwjqBlTjBDysN6WIniOkFHuoSUKkJB7ciGqRAls6DmBfBeV65/exGIb0pwTZMaBjigeZaiyIdG5QKZLzi/XGFuGBXpFZjEWWl+lcT4ZqlRizkwx9i7wF+3QxHIZktVyPBnKevJwTLF6F8OjH/ocXssTdjoZyu4W4FvN6q/Au9rRe+V4z+qUnU6GtZZA0izKnpVh8wvVGihF/dQrTYay9SArwx8eA9OaNVpktefOJkPZYAVWRJ5D3Xlo0r+YwM+vMhk2OQ8VETCy4cYvIdUecOG0pU9uh5MJIr6+S3BOtyS0WJm0w8mUxLc4hAjOGzZptjJpZ5MJYn38oeeSXNRot5GEkxZWhR1NphD/CCUcfOLFPg1In6TVdKyRo8lI+HeSTOGDtE2zbrnqrcs0TiazBCv6kxz+1SO/a2vNn0HpJ8vQOJfMyEosnUxy3ZSdcrv0ouaYJB23Co1Tyahv2JNJr5qyky7plGb9JLnOWOSBU8mwUAMCz5J/RVkD3Lq1Q3//Nl9OJTP9DXz8b7+Du0ezvoWnzxoPnErmAFz8LylrBhnRrFMgY5Z44FQyB2ciI+sKMK5Zf4C8sMIDR5Kh7KvZGu1aYXh+EcQSJ5xIhrIPUTg68zmh83CNq4+u0Bm4Xlrw6HYiGbaGoHjWk04qZa8K5Gd4n5qPxoFkKCuFvzUF11Fw2bAC7aa74UAybA/xXZo9D4S2AsfU06Y+AE6YnmkcSOYQ8i6ndJ1rUPZIO7EW5ffMdsOBZAhSexei7F3Mf6TZK/CR2ZnGeWRuEXI6tTMpK0OlbgUqJ032w3FkHgK3U/75F2ORbr2JhSY74jQyMpieNE5fgXm69Tbmm+uJw8jIlX48SCfAZgR0ay2KTHXFUWQouwvcSKsk3QK/bq2TGZlZCDuJDGVXXeSP9MKMrDLuouEVeMNMb5xEhp3OS/ftkLLRWlRo1sgyLDIx0ziIDGW7QL5OO1AHUDOqWuNVZl6Nc8hQdr2EfJp+uEdlwIhSwlDWj0/+B8lQdi+I19IvQymjxdgVUgP2B/E1neHM2Y84kQzr94MszywosHvSsPYmaeC7fKGlpflO1IGQfOD3lsGZI801kLB8wJrMHrsTLuCoao3JVpJhNV4QgtKXkQMX5QMEn80RMn75pTBTufBD2DrGOacx0rB8Sn0C5n84N8h40ZBFaA+Mh5obe5OfstcdNk+rZHxRZJLkVYeQCXmQ1biGF4XYpFmTfiTPC1FkTkBh4d1kfM7fx/aDKN8XY6dBySFkmHzXT2QTvhDv6Zfkx8akj6GDkUrk5BGPHOKTcCP802pp4ZWWX3xuqeFmuRGPE8jInszDJ9m1/1/zYZcWQUcedidERdnReb9HfT4S8NfLOVX/tAUF8pNrGF81jLKby1Yzx5BRhkCjLyswlLX5yVdafe9Pn2zFf/3T4iPhBCibXvL+e2z9r8YRT/CObPYpLEJsU55jyFDWBSx5lm0k9SCNmrVOfv+msV8eJ29EgRlapjQFbv6rMQLS+63yZR/UbuANBU4hQ9nEZuV9OduXwSaPMdj8sMt1Ifa7ixX+f0Y+9W6er6Y7z2gG9G5X/jqODBuvM6P/lbL/SKRds34jyqyfiO6S/dHkP9UJllY6nMwOzDQgJA00twi6tFFq7Yi+rh6CQ4b9eJyxA/7++/Kb6MCCNQaZbc4ksw35JsX0CBjQrDt4Hj46RZS60viYWiuQ9sl/LiljTJSqpZ6P8ncpf/uJw8isR6FZUd0FhjTrRngQiSKXMkFV4+9SSmkaGgLawg9tNqVZ2ovVOr9DyNSY2eZ/B+SxlhGugwyEi5aB3p6ensdqdhrQ65M9j6Y5cYw9dQQZyhabOvGvnUgXNasV0uWsosotGco2oOS+mTECvxu1e7RmVRPIcZ75AK91mtoXsg/5N7QI98B/N5uoc0tmG4w5BKZpJwKXNOtzBFuziCi3ZOSazIXsY4kWZUHU6mPvC7AuC+w5JdNM3PdMHxG0AvP1Sk0Nyp9mHk8OydDLSu++2WAoW4vgpGbVomRyLpK5DWVAiOmibKPe103Z3xHMOJ4ckukM1+VN1moYo4n/hpKMY8kVGcragCcWRf5heJrGxsxfPXKWZ5qIZGoVL1qhz41RNaGtGaPJERnKDhvtTFZE/nIbisdV68XWTNt+ckOGsgtu8m8Lo++G2nEi/7uJJXOJDDvtJd9bubjOs2osp2oCA5VYOTJnyFC2EOVWgpGjrsDqp5pVjv5M0spNnukOYIvVaUQWA8A/pzMInxMyQ95IJ6lVovnGWJppH3ZnEEEuyEy7k/Qimq98GCO4fPIPkbZyQUYCdtiRTgAbdMuP+rRD54ZMoy3p5MuFmZY1fXL2STeT5oCMF0fsSWgsgE0akFF/+nNZbCfTnw9ctymtvlKs1YD0lGBNmoFtJkPZMPBRRjWvTBL7P5A1mlWN0jQzjb1kKBtbiNV2rSTOWEuhvkwC+81Hvk0vrK1kKHu2FDV2pteRL32vWa3eSOe288iwgRrr3rCTibLzwMlp1TqR5ogLe8lsQhaNbBmpWVIWa1F0hpC02lbtJbMar9mantYecV+zbgOP0ghqKxnTZ/SlokFAn7HcCzxOPZyNZCh7Jzzr0U4NEVzRrIF0muTtI0NZDcosXp81ecIA+Um1XoI8TLnGYGOeqcJb/7Wfi9bjpy2hRv+AdC1VNPaRqYb58/BT1CmXp1lL+gTxpDhN3kYyBK9fyz6WzJQHn74Xiwc7Uvx5bCPzJSl6kKMso4xz1RcnZB8heDM1N2wi8+JgOosamC3KPiPqAHr538cI3EkpkE1k+gG3XW0PSdG8C1+fZi1LsbZpE5nLIKM5yzKK1oZHAdSixEF3UwtIJh0bZmp7eKD6x6mNzLaFzHFIuajixWq/0VTDGlLaR8IOMg2waMm7tCQ/A9zaKPG9gGf2LGw9Gcq+hpTa48BSTewwpmlMfJbKL2U5GcqOSN5LucaiToT7TGkcUsYBTH2EebO2RVufZ75zoyinj6UwGrYZC8ZVNGw9Xszmk9VkKHsdrr3Zx2OOgMqHulU7PQsay/NMm5cccEKWUfRygbE44cR8bJjI7YoZnRJ+dAoYpsx+3qhP4yGoG5/xVKvJZAxm6v6Dbgtqhz6sMgxszykZFw5mFvAsgF7z/fEDyzQrP7driRCczSzgYWV+nxUrjJfgb7pViPdzRuaphIsZBaTsB/ftRDKmlFdlqNYjUqyckJFrVGkuGxjRfnifR8iM+TxT73jcG2Uzz5PtO/t4pbHxUbls8OOyjgxVRq3sn8ws6DpyqydCZhjwKXfXVmUxFl9vlitIbDQWR7hfgg38uCwjQ1l/UYaDzuQXiqqzSudiFJl3tm/f/Re8Vb/tSwRas/PsZik2asl0voZN3NOsyzO3XkddhkFPkHLGHsSQUfpd96jXEVmeKDNR9rAEn2qz5hpn2DvAKjKUfZn5vh4FUpPa62q89Q1rw7Q+yVfyvoR92brWYbx1X8gjTTaToWzk7cxX7A28df3kr/uB7yZiyPxDbZVbiG+y9e6qW9tsjrIuF37j1CetyjNTFViScUlZSYgkEbnIvZqEzJRnV5a+yT+bXJ3Q7ie5YsFpj7CKzAJUZgxGC9cPGJ29MWQ8MOHVfZqgQ7Oe8yoWVpGpyHr169gSOEKGeTMYEJ4oou+Q8AzotJPM/OyH43VH3puGtftqq1qkezOaRZBIRq6eq5lzUFlWxLb19OZh9cts43jZ0WF0OISutk/K/3t6V/lwvdWUERUPwpsHdElJH1DWkLFkygUNvziZEnWHm+gFlqSO+oyP1BIyy/HWQyviNVOUBYwVVJuIu/XK2vgTLCAzuQ7lQ7P+rlZPb5r9lAOS55yWEX+WCooSltqygMxL3rKBsceGdzZYpq+PpsLuB+LW1uvoKEwyGtcCMkfg44wuvXfiTFgX62GhSMuZKJ2IWRI0suLgB3oPtxe2kDkW87507+atsJ7MT7gCt8d0eUkiqH0Pw05cH4449wV86mIj5S4Cf/wikKaTOar3jE4+Gxoa+u+klPBrRgtWFNQ1cWnEaRMbUqSeekQdiqD20cEdF43ZZPYYvfu1ybO5P8v401Y7537TRgafDvdwH45vjzCXDGUH4BmP/a120qEojWafSHoKRac+pDQKxuRd2dAqjlPDcQHNJCPnygYC4tXT9vWr9/V49hEbsZug7huyT10no3MP50wTyBh1U8pqC7TVDvGvm+3tl9PZbWg2leaZO86krV1R1wZ1bcbxpNSzJ0PZbr3BZG34Dnrj7aqqqso3K0wTEFxsXmwVFVWqaoKqt8EnFr1RHib6WFuXlTUUKxVssyLPUFaEoLY4szecVMWKykWLzdISvRrkrTItSlmLqmtqVhbrJWKzJXfT1XylAkljyBz608zXoueBYln+DDvIebp18dKttZq7FrXPKPdQYT9Tybh8xh215sFVRR1mEjInrr4rqmddeh00T/49k/a9Z08mqNQNAhqZBvYjJEXh3PPnyKCmgRwPopl4ovlByw3XiOwn8XNHJZhQApdihWZ4I0t2FCUWc91sOk5WgkhI68MEh07qp1pHZl4SMs9HRkamWmIcIXEyYfFxfjbsTkwuonlM9m5k2PhlrCSzPIGMqum79zT1Hk36sHQnlSuNzeerJTcnkoTEFn1JBjRv7sYt45cDMhG9ONccrQ4vZpAvUJCiCslM8eDjy5Ekzz4a+zPsTmxeyymZeJ3/pjFeP0rIQusPJUTY2BDf+ci5+ZxEJqmLjevqMtb746mn42gymV+FFcGdTiZ3EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4EmR4mo3MYF0+UBYzneULUizIKEsSLq0rBomgGSwDBBmFjMKkDEuNz51u0iTIhBXFoim/kwkyycgMKl9GkSku7pRvr6WDg3UExTHF0StBZpWxRqz+ZTQZNymWC6LifLJqKcjgK0ZmkMSu+RRDRi2C3MiXoSxF9CI/rwKZsrhVE2PJKH+Xqtt5N8Wc9wqQaYwvcRPJ1Klkzr9iZBrVO0WQSSCTCEaQiQdTpl6+IKOpE1ilTqJqUyDIF94p23DX1RlPoVeWTJsx7+4LPc+c1z+XGWSIRqbtVSOThQQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZngQZnsJk3NjDzNrR2Baprn5BcCrZlyaQeR0rtUSqsfDUv/6T68tNR0+OHP8O8F2zhsyjACo6bzAFTrULcN+/cqXV0m2QTdLt1itdtcoG257hpPk8ezIFyqzuIFPRsM+hbkX767O+fll9/bm+/CQa7VVc6x1RNw2WJA/vPFP21w5Pd5fVHLMf7RCd0pRrHixkOFIZvYHyDAFMKYFRGuXBmCI2P2ZXbbgTg9lcUu9EzD7bw+OKm5PWkilCeSjh4NOubkU9JIqQ5IqIrDDjcrl0+2PSUtI2ssm2Qdmt+w9mj9sEMjfPPuJ/2Xrhd1Xnzp1ri91V2+vx+BOVH0gr7e3eJHHkuT0xO4//fP7cubPNLaof50dTjTp7MpSlemdc3Pd9WAcbd+/ZlnSr7ECwMGWVJN16vPDQ7m8ORpL6IdFfe8ikhTBW9VvqE7Tl7++lrtoNWxNjeP+SKe7aSMY+mVK4/0+SMUWCDE+CDE+CDE+CDE+CDE+CDE+CDE+CDE//D4uhtbHPtlDWAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDE4LTEyLTEwVDA3OjE1OjM1KzAwOjAw0yy1owAAACV0RVh0ZGF0ZTptb2RpZnkAMjAxOC0xMi0xMFQwNzoxNTozNSswMDowMKJxDR8AAAAASUVORK5CYII=)
We know for a cone,
Area of canvas used = CSA of conical part + CSA of cylindrical part
= πrl + 2πrh
=( Ï€ × 2 × 2.8 )+( 2Ï€ × 2 × 2.1)
= 2Ï€ [2.8 + (2 × 2.1)]
= 2Ï€ [2.8 + 4.2]
= 2 ×
× 7
= 44 m2
Cost of 1 m2 canvas = Rs 500
Cost of 44 m2 canvas = 44 × 500
= Rs 22000
Question 8.From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cm2
Answer:Given:
![](data:image/png;base64,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)
Height (h) of the conical part = Height (h) of the cylindrical part = 2.4 cm
Diameter of the cylindrical part = 1.4 cm
Radius (r) of the cylindrical part = 0.7 cm
we know, slant height of cone, l = √(r2 + h2)
Slant height of the cylindrical part (l) =![](data:image/png;base64,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)
= ![](data:image/png;base64,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)
= ![](data:image/png;base64,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)
= 2.5
Total surface area of the remaining solid will be
= CSA of cylindrical part + CSA of conical part + Area of cylindrical base
= 2πrh + πrl + πr2
=( 2 ×
× 0.7 × 2.4 )+(
× 0.7 × 2.5) +(
× 0.7 × 0.7)
= (4.4 × 2.4) +( 2.2 × 2.5) +( 2.2 × 0.7)
= 10.56 + 5.50 + 1.54
= 12.10 + 5.50 cm2
= 17.60 cm2 (approx)
Hence, the total surface area of remaining solid is 17.60 cm2.
Question 9.A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in Fig. 13.11. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the total surface area of the article.
![](data:image/png;base64,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)
Answer:Given:
Radius (r) of cylindrical part = 3.5 cm
Radius (r) of hemispherical part = 3.5 cm
Height of cylindrical part (h) = 10 cm
Surface area of article = CSA of cylindrical part + 2 × CSA of hemispherical part
= 2 Ï€rh + 2 × 2 Ï€r2
= (2 Ï€ × 3.5 × 10) + (2 × 2 Ï€ × 3.5 × 3.5)
= 70 π + 49 π
= 119 π
![](data:image/png;base64,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)
= 17 × 22
= 374 cm2
Hence, the total surface of the article = 374 cm2
2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid.
Answer:
In the figure above two cubes are joined end to end such that a cuboid is formed.
Volume of cube = 64 cm3
We know that,
Side of cube =
=
= 4 cm
Side of cube = 4 cmNow these two cubes when joined, we can see from the figure that, their lengths are added and breadth and height remains the same.
Length of new cuboid = 8 cm
Height of new cuboid = 4 cm
Width of new cuboid = 4 cm
We know that:
Surface Area = 2(lb + lh + bh)
Surface Area = 2(8 x 4 + 8 x 4 + 4 x 4)
= 2 x 80
= 160 cm2
Question 2.
A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.
Answer:
According to the question,
Radius (r) of the cylindrical part = 7cm
And
Radius(r) of the hemispherical part = 7 cm
Height of hemispherical part = Radius = 7 cm
Height of cylindrical part (h) = 13 - 7
= 6 cm
Now,
Inner surface area of the vessel = CSA of cylindrical part + CSA of hemispherical part
= 2rh + 2 πr2
Inner surface area of vessel = (2 × × 7 × 6) + (2 ×
× 7 × 7)
= (44 × 6) + ( 44 × 7)
= 44 (6 + 7)
= 44 × 13
= 572 cm2
Question 3.
A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. The total height of the toy is 15.5 cm. Find the total surface area of the toy.
Answer:
As per the question:
The radius of the conical part = 3.5 cm
And,
Radius of the hemispherical part = 3.5 cm
Height of hemispherical part = Radius (r)
= 3.5 cm
= cm
Height of conical part (h) = 15.5 - 3.5 = 12 cm
for cone we know that,r2 + h2 = l2
where r is the radius of base, l is the slant height and h is the height of cone.
Slant height of the conical part
=
=
Total surface area of toy = CSA of conical part + CSA of hemispherical part
= πrl + 2πr2
= 137.5 + 77
= 214.5 cm2
Question 4.
A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid.
Answer:
From the figure:
The greatest diameter possible for the hemisphere is equal to the cube's edge= 7cm
Radius (r) of hemispherical part = 7/2cm
The total surface area of solid = Surface area of cubical part + CSA of hemispherical part - Area of the base of hemispherical part
= 6 (Edge)2 + 2Ï€r2 – Ï€r2
= 6 (Edge)2 + πr2
Total surface area of solid = 6 (7)2 +( ×
×
)
= 294 + 38.5
= 332.5 cm2
Question 5.
A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.
Answer:
According to the question,
Diameter of hemisphere = Edge of cube
= l
Radius of hemisphere =
Surface Area of cube = 6(Edge)2
Total surface area of solid = Surface area of cubical part + CSA of hemispherical part - Area of base of hemispherical part
= 6 (Edge)2 + 2Ï€r2 – Ï€r2
= 6 (Edge)2 + πr2
TSA of Solid = 6l2 + π x ()2
Question 6.
A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends (see Fig. 13.10). The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area.
Answer:
According to the question,
Radius (r) of cylindrical part = Radius (r) of hemispherical part
Length of cylindrical part (h) = Length of the entire capsule - 2 × r
= 14 - 5
= 9 cm
Surface area of capsule = 2 × C S A of hemispherical part + C S A of cylindrical part
( Curved Surface Area of cylinder = 2Î rh, Curved Surface Area of Hemisphere = 2Î r2)
= 2 x 2Ï€r2 + 2Ï€rh
= 70 x
= 220 mm2
Therefore, Surface Area of capsule = 220 mm2
Question 7.
A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively, and the slant height of the top is 2.8 m, find the area of the canvas used for making the tent. Also, find the cost of the canvas of the tent at the rate of Rs 500 per m2. (Note that the base of the tent will not be covered with canvas)
Answer:
Given:
Height (h) of the cylindrical part = 2.1 m
Diameter of the cylindrical part = 4 m
Radius of the cylindrical part = 2 m
Slant height (l) = 2.8 m
Solution:
We know for a cone,
Area of canvas used = CSA of conical part + CSA of cylindrical part
= πrl + 2πrh
=( Ï€ × 2 × 2.8 )+( 2Ï€ × 2 × 2.1)
= 2Ï€ [2.8 + (2 × 2.1)]
= 2Ï€ [2.8 + 4.2]
= 2 × × 7
= 44 m2
Cost of 1 m2 canvas = Rs 500
Cost of 44 m2 canvas = 44 × 500
= Rs 22000
Question 8.
From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cm2
Answer:
Given:
Height (h) of the conical part = Height (h) of the cylindrical part = 2.4 cm
Diameter of the cylindrical part = 1.4 cm
Radius (r) of the cylindrical part = 0.7 cm
we know, slant height of cone, l = √(r2 + h2)
Slant height of the cylindrical part (l) =
=
=
= 2.5
Total surface area of the remaining solid will be
= CSA of cylindrical part + CSA of conical part + Area of cylindrical base
= 2πrh + πrl + πr2
=( 2 × × 0.7 × 2.4 )+(
× 0.7 × 2.5) +(
× 0.7 × 0.7)
= (4.4 × 2.4) +( 2.2 × 2.5) +( 2.2 × 0.7)
= 10.56 + 5.50 + 1.54
= 12.10 + 5.50 cm2
= 17.60 cm2 (approx)
Hence, the total surface area of remaining solid is 17.60 cm2.
Question 9.
A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in Fig. 13.11. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the total surface area of the article.
Answer:
Given:
Radius (r) of cylindrical part = 3.5 cm
Radius (r) of hemispherical part = 3.5 cm
Height of cylindrical part (h) = 10 cm
Surface area of article = CSA of cylindrical part + 2 × CSA of hemispherical part
= 2 Ï€rh + 2 × 2 Ï€r2
= (2 Ï€ × 3.5 × 10) + (2 × 2 Ï€ × 3.5 × 3.5)
= 70 π + 49 π
= 119 π
= 17 × 22
= 374 cm2
Hence, the total surface of the article = 374 cm2
Exercise 13.2
Question 1.A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π.
Answer:![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RCWRXhpZgAATU0AKgAAAAgABAE7AAIAAAAMAAAISodpAAQAAAABAAAIVpydAAEAAAAYAAAQduocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGFobWFkIGF2YWlzAAAB6hwABwAACAwAAAhoAAAAABzqAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABhAGgAbQBhAGQAIABhAHYAYQBpAHMAAAD/4QseaHR0cDovL25zLmFkb2JlLmNvbS94YXAvMS4wLwA8P3hwYWNrZXQgYmVnaW49J++7vycgaWQ9J1c1TTBNcENlaGlIenJlU3pOVGN6a2M5ZCc/Pg0KPHg6eG1wbWV0YSB4bWxuczp4PSJhZG9iZTpuczptZXRhLyI+PHJkZjpSREYgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj48cmRmOkRlc2NyaXB0aW9uIHJkZjphYm91dD0idXVpZDpmYWY1YmRkNS1iYTNkLTExZGEtYWQzMS1kMzNkNzUxODJmMWIiIHhtbG5zOmRjPSJodHRwOi8vcHVybC5vcmcvZGMvZWxlbWVudHMvMS4xLyIvPjxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSJ1dWlkOmZhZjViZGQ1LWJhM2QtMTFkYS1hZDMxLWQzM2Q3NTE4MmYxYiIgeG1sbnM6eG1wPSJodHRwOi8vbnMuYWRvYmUuY29tL3hhcC8xLjAvIj48eG1wOkNyZWF0ZURhdGU+MjAxOC0wOS0yOFQxNjoxOTowNy45OTU8L3htcDpDcmVhdGVEYXRlPjwvcmRmOkRlc2NyaXB0aW9uPjxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSJ1dWlkOmZhZjViZGQ1LWJhM2QtMTFkYS1hZDMxLWQzM2Q3NTE4MmYxYiIgeG1sbnM6ZGM9Imh0dHA6Ly9wdXJsLm9yZy9kYy9lbGVtZW50cy8xLjEvIj48ZGM6Y3JlYXRvcj48cmRmOlNlcSB4bWxuczpyZGY9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkvMDIvMjItcmRmLXN5bnRheC1ucyMiPjxyZGY6bGk+YWhtYWQgYXZhaXM8L3JkZjpsaT48L3JkZjpTZXE+DQoJCQk8L2RjOmNyZWF0b3I+PC9yZGY6RGVzY3JpcHRpb24+PC9yZGY6UkRGPjwveDp4bXBtZXRhPg0KICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICA8P3hwYWNrZXQgZW5kPSd3Jz8+/9sAQwABAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEB/9sAQwEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEB/8AAEQgA0QDjAwEiAAIRAQMRAf/EAB4AAQEBAAICAwEAAAAAAAAAAAAJCAYHAQoCAwUE/8QAQhAAAQMFAAEBAgsFBgQHAQAABgAFBwECAwQICREWFxITFSExOVh4mbjZFEFRkaEYImFxgbEKGSXBIykyWZfR0vD/xAAYAQEBAQEBAAAAAAAAAAAAAAAAAgQDAf/EAC4RAQABAgUDAQgBBQAAAAAAAAABAhEDBBIhMRMUQXEFIiMyQlFhkUQ0Q1Ricv/aAAwDAQACEQMRAD8A9/hERAREQEREBERAREQEREBERAREQEREBERARdCc8zYNdJwLCXQwO0P7QDz7EcdzQGNpZhadEsbhiSxdqNR7QJ29leSdixP1rI8YcZJhZCR8sw7VubXx7GxZTDnv77QEREBERAREQEREBERAREQEREBERAREQFmzq3o+LePudZk6fm54o1xjB4K/yGTX6jmOtr49XsuK35GAxGpg/DI67m8hP1zaBBI1tk7D7Vmz6OCmDJZnf8fppNSw6aEX/qXt7lPnHGQWWwryzVk786mHdTZPR9+LjJmKXIR8doI4vA+eADI7gj9OUeT10UTDuwNymPe2XGcWaZswCOiaCuYsDpzxa9AdOahVLnFPkG3WNt7LYGAP7VHmxrfxvLY+QR187OxoYgoho/2iJ2Jntg4q6upOXHVzz8YMiY1EQVzHeKW59eRR/PmtkpH+UHXzQq386+RgddSRgdeEpibduY72gXmY6biLhTokrCo27aayyO4bJB/K9D0ZhFoZ2PjIyASlCwQLeTB7YsE7sGwTZ7q4ICIiAiIgIiIJ++Jz6rTxq/cB43/LnGqoEp++Jz6rTxq/cB43/LnGqoEgIiICIiAiIgIiICIiAiIgIiICIiAiIg6llyVAaD4vkSbpMIPZiMohByyTZHJLGt0fKjgPHo69lxg8WtTE0vj+8WMLC0uue9lHmDaI89utfi1dTNnvx478S+McFmXXgg16F6N0CgP6F7rlx+7Bk6KSCtl1YA0JDEwmOYJ53x4rImhR9xkMFcvRNBkayp7VCdC3alcfkMm2SPawvuDYu5F1bW/oOUYn4g0Pjd8RMK2zz1/bq2WbOpq8sxuSYbBSGSu2yj+y4cXac3tzLG2xHkoCl8cdC8axr5AA7EQahYK4LbqJIOCl4mLH4sTg5yPMReDlzC6jBeIFTI3EAsXjr5oZGV7Gypje8Gwyv7IRsjhsMb8PkGDJrb2rky69+tXFd8YpWeJw993jT0P4xSUtyl0m+K+QAqDGd62M1zoRkvHUmg2OT+FSktdGeKosj/CcMUHO3uYOR8cwkuT2vgh9N9y+mKRh2/LY1R27rdcfF/T/ADn5JbXz5AhVzuE+Fe+avZXRmEGaEJdkT4PLPSD1ebTpHEcj9OY+qy+wcKiS8PNifDA/V88EdMdmsK0yWBYlERAREQEREE/fE59Vp41fuA8b/lzjVUCU/fE59Vp41fuA8b/lzjVUCQEREBERAREQEREBERAREQEREBERARFM/vko0pPcII8e/wCyEGzsd5vx6OS/mZhQnIdAd4liIVsMuuPbB5ZWmrGFsU0tDnH3D2IsukWMi8LK+thuV4lI341jrCM5wcDjWnJ7hPHkI/ayDa2O8n4CI4fwvBWTkGiOcSxELXhvI/sezPTtVjC2GamhzkLuLMKWx3GRgFlfWxJFEtDr+aR1mJtimCIgLoPoaExrpSBZt55OHR/ZwefYjkWFjNyE8zTpFjcLyULuoSQ74w4PTMTMON+tZHjLkGsz2OPePBtUxZ8uvnspmwX9+Igmb4spVkU85PH4rnW8ly9M8ZPzlxN1DukbtJz85lkxQS1MbVWZLT+UAiNSOSR/pSKnOMeqBA+uH9j9pF5paMGQpJyXGQZq0yUT533LOOPLLy5PDCzsI7Dnk1YnHiXqcscSWHI5FdbpiHhgwmHgE8z43EetlmRpXkcbp0TzFrNNpfiGifBliAazYsZQHRiKGFsEBERAREQT98Tn1WnjV+4Dxv8AlzjVUCU/fE59Vp41fuA8b/lzjVUCQEREBERAREQEREBERAREQEREBERAU7eVLb+gZSlft5yrdviJl8ZA/H1du/HtautyxG5JkvK5oE7stz8y4cXac4YnqSNeQ4wLL466H42jPx/GOYe1ikRy3U475ODqZdeCArnrnLfKA/oXuuXGHj6MZWH6WXVgDQkMTNpGnbojJlvlmFH3GQwVy9E05yVFfsqWULdqVx+PBnWHNrC+59e7bURxWDQfF8dwjGY/7MRlEIOJxlHA3e6Oj5UcB49HWQRD2e51fXZ8f3ixhYWlqwWPRC/7RHnt1rMu1t5s9+TJeHbSIiAiIgyH2fzU29c8wy5zptGZPGToeMjbvx9KQk5EreXxBMQiTNMiwVNItlDTOOyS55hGYRQJklgZdYtHbyPOF4RzZzV0s2azJwfx89Yb3XnMgxIJy2Dwf0CCP5nA/XUUMLqNuOGIOt4KJMsbzrHltgcfyjgZ2O07ZMxTFeF7MCEpJogLo8MMt1MRJjuv3oo5ATXscPeTkyjpvZbmjmbypUIpvBfkQZvwjkc+RSHgLFlnoVdMILCGuzNVet+bA9lnnSfpLnDY2iCVeZemiXT07n+SKY8gWNREQEREE/fE59Vp41fuA8b/AJc41VAlP3xOfVaeNX7gPG/5c41VAkGJ+v8Avnj7gqP9OROvJ9DYWHXfZ2NQa03/ACOz8Xl12m6M7Y7UDY7EGUhkY1tHL3tlyE+UYGH+wXwO+HaJ66urW3PXScenQxJgMGyIHuOR7DTkZHTQPfa6Tno0eB0ra7Hhnd6NzvhxvTbbtM+/hy/FPOHXy46ZbbMuDBkpdjtih/xFkcgDr4oO1JScQYT25KH4VawhmkDONNG6dM4gQTXF706i7SWZdb5eZx15dmJkeiJjwbdNDbyNbdmz692xqYstlMOBr7q8MceVr6+tOYIDpT/K2LhKltPn/dW2n8vo+b0WfAqivCzE40XnK9tN+YmMxGLM7faOl9+PG8SjMx0sbJW/nd7E78dpGTimeJtfuZ9bTbiWu7qY6X/PW7/01/f83pX0+f8Ah8/r6U/p9K+d3wfT0u/dStPWlf8At6+v8f4f4U+j09RXlKk9+QbrDyFdRy55ROleUcvB/fzjA0Y84x1JgqFczjUNQ+X47WvP0TEj1XIwyTSbcV70L5iJ/fhzLmKmp9tu2yDQHx0UG5+9FP3Z8kDHnz6Mb/JX3PFjV4++syTe58h+JpldhIC0954eWfC7tBu6YqZil7i7GwNLSwiEOjxANiQiS/LZXfrX1LCS3YmMfCo09WYiqrIxnYtH8SaspTETMX3vmabRG+0/a69MdSrDomNXedlPP9XHWvb/AFnoROribxa+z36vhWenr619PWlKV+n93+n8/o9PpX2etvzU9f3Vp/pSlPWv/wBfz+f0Xpzc0E/X3Ofkw8Q7ged7dP8AULV5TOW5okvoaNpjImukNixkyQiyzAzu8FRKOsDGAQ4z4HxyaNW1iGdezatwMzxr2kexiJPZqnuFfDupls+n56ZfWvz/ALraf4fT6fR+6vp83+G2vLYuHhYFWJMVUY9ObromPHbZicDjadtMzf64tMMdGaviVUVRaaYyk38TGamIm36nx6v00Xin0U/yp/sihseUREBERAREQERTr8kk9SpBnO2Ma5zs+P646ePB/lbku7YZit+Y2CdZdxPNcMrF1WKKZqwtIHzfGDRJXURvQqEcwrsBkLvotnzUufsOO8Pw+bSfT6j636R6XtwkdAbmIiP/AB9wDkehcmF2x53xd3CDHuaVRF4eB8Uzmw+VdDCMb8v5sGRkLRYNKuCCAtieUstk2yWL46YLNnKXOEW8fc6w3zBCLPRrjGDwVgjwZs22wdbXx6vZcV3yyeF1A9hGR13N5CfrnI9NiXUGGH2rNn0jK8+OzO/5PTSaAiIgIiIClp5ceQT3sLjx/boN2/kjrjnI9DeveKSTDpsm/cy9Tc77+QujjS+SDUiGo5dqyFq5CmHq55OvIYzE6SX7aE4oSZRbTxKpaIMi8S9NjfZvJHOXVAjVh1WmeYhCpB22EdLGw3bwYkd2rBkMYyvLWnXZPlt9jI1o/RwVZKMY7fQoDn7X2RkZ27Mg/h10oqcmvUi80eT7tPh98FXuyAOi2Vx8mnHxTr7UlFYoPuReVBke95RQ+l8lkd7GwvuXqUyY+jROHoYG9sZFdOfyEuKykYvkYTEMNq0BERBP3xOfVaeNX7gPG/5c41VAlP3xOfVaeNX7gPG/5c41VAkE4u3fFRwh5G3SOXbsuC6TI4xXoEjUC7NJPmSOrmBuLsrPsP8AT0i48EbnbNsZWVqrWj98fZb8XddZ8XSt1K9i8X8E8p+PONHiIeQovpEccFBvvSE7C3t5Jh3dumzozsTE5PFrvJxkWEHwrx4UZte9nxbVmCzG0U9MVL6333bX9Kfy9f6/Snz/AD/v/hT6PT/VRh/CpmMPeKrRN5mYn1j8XnbxEz6Jr+LFPU+mbxF9onbjxvaL7bpWSf4bPGjNfUjZ2vJXJYSVdGtr6Nk9pvc+HzU2vJGI3UvZCkujZkMGGKTB+xZcOtTYeC0RJL3rG1tWXZy7Fmtr2Yu1d/xl8Tuob1sAb8K/tQl3WV3m3VbTdIsr0rKRbfWy+90q6UOrHcJuvyW23fFxvnEsVb/TJTHb6Vot/elP9/6/T6/x9U9Kfz//AL/t/Rc4wsHpxg2i8RaJv71rxOn/AJvEWpv+PDy0xi9aJ3+aInfeItE39Pq53lizNwfytmknlaXr4wyY5E4kBCOOuXyHCdSFS6LAstBsUcvrPc0+2eRgMLtsDbLBq55kXUKtmnrlz4s9Ny67OtnfFU9aV9fnp9FfWvr/AL/5f1/1+2laV+hfGvwqfN8L1rX/AApT+q79XErppi+1O0apv+vHO/rN+XPoYV+Ivt5i+28frmPs+aIiO4iIgIiICIiAoLxvIRX5G/KUETtBR/ER746PGqwm4Y1SGNyA6nejP3dM+QwxZit5iS6GZ2yxs/MPN/OUtsgBbIcyx6QZBUrmPoGKg0RJicn96kEb38j/AFIXcZ8WTv0PH4ARytKwgyjotC8ai4nvnW6cTtL50JwzBItlEGZ7GSQiYX2XJAC7C1hFn+wxzCdXnEG0zltWDBk/f4G5wfOSuPICgUtechPJQmAtrrNhpaZnki3yJ0RITi6yT0jKVS+Ub6Hj9dJ85mEkSDXYJP2bNX5e/wDBGBvFTEO6wbSREQEREBERAREQTu8glPdVGDP3APW59Ys4MwlM7FNNel1jgfctNY18LsCGs1+PNpuxfcUQloOcmRKAbBYLRuSdlwtyYYy0Q1Eoz2LKURRSw4akZrhSU5T8WBDqZB8g5LAwyQOWM7mQgl+aUuA5AKDIRg64REmgzIZIrg5H2RK/jqTX+R8ewUFmOOokn8zLNgr6TqwjYVPREQT98Tn1WnjV+4Dxv+XONVQJT98Tn1WnjV+4Dxv+XONVQJAREQEREBERAREQEREBERARFmnqidv7N/O8zzfpi2aQHyNQV/dgaNNd6uYXeaJRtribIqgkPdbWcjvqeTfJ7mLRCCsTEMlJQTmJiwDAkLE5Vn0xnME6TJ0He5/K+ywE4bzC9w54ix+OeoJbEnLQaXK9/wC6OlBc2auSMeyyHMIbV1zBzjz3hlaZNU5jaVGGtktzHDeSzHnKISIK6drFg7gfiYa4ahsrBm83f5ZlOaZkPOmOn5yJGpuYd+delpiytDvL8o44+H6YwWLmEgyNbYxCscx9ioMiguyseDLnJiv2nLSPeKAiIgIiICIiAiIgKKPl3I5n5V0YA8nkK4iAr0+IH58HOrYpZBbEeOEk+PfoQoiK7qbKIiVB+18tl2MXmJYlmcOJKyfFgWHisdSCQS6SkohTIKbFrlwUvExY/FicHOR5iLwcuYXUYLxAqZG4gFi8dfNDIyvY2VMb3g2GV/ZCNkcNhjfh8gwZNbe1cmXXv1q4rvjEHOkUNPCdJxwIxfN3jFnh8uIOh/FAfDPNe0RWtjS3e9DlknGbS7haabWcJasgKF2FsF48Q1dG+OSJMkwXujW4lmAnsLSutK3LQT98Tn1WnjV+4Dxv+XONVQJT98Tn1WnjV+4Dxv8AlzjVUCQEREBERAREQEREBERAREQFIyZJJL5/8k/NfKQ1GT6ZwBziwmHVnVMpZr3HTiBpnZlbWBm5Y5/fHZoHZHAzeVhPLJLZ2LdzpJGOKzAWuaORevgWU8eaNcQTJ2nPIVJp9BfBXbE0RU9+yslw/wAkdISjHhPY3s737OGsdQ4cl4i80Zn5oIR55xMb80NmxeyETHsj2el12LZw7GO6uC/B3HcXeYDnIEkvUlWJ+Bp7leZJ8lOfZFkbW7fmuNWCrtIzrhtZQkRZP+V/IUg5AeNQdnEo7DMczyzNZSLhYiPA4sYD0SCUYRlGIXIRT995HlM+xtwH+JV0d+k6nvI8pn2NuA/xKujv0nUFAkU/feR5TPsbcB/iVdHfpOp7yPKZ9jbgP8Sro79J1BQJFP33keUz7G3Af4lXR36Tqe8jymfY24D/ABKujv0nUFAkU/feR5TPsbcB/iVdHfpOp7yPKZ9jbgP8Sro79J1BQJFP33keUz7G3Af4lXR36Tqe8jymfY24D/Eq6O/SdQUCRT995HlM+xtwH+JV0d+k6nvI8pn2NuA/xKujv0nUGNPIVug/E/bfFnlLfmv9kGST43xkdiGVzG7uTFHPOXRBh7zIHncuMXeVRONoRBYO6qDRQdOz8mG8tpIIz+RYM2znLxyKxnJc1R16vjTvXsDnSZuYJp4m4FdYxnEFfY7Jset5F5q33xlq84v+jnYj7W+IYpHmg5jt/wDkw6BiPcGH20WNGIeKsWP44ew0ycZ8I009nSFzZMsNd4N7FXoHhfpx84cdC9m15VscJeGodhmCH4UnoufJoe7jw6fZuwSD7xsckZWMWwSiLP7CYYRLW9obLs4au8Tn1WnjV+4Dxv8AlzjVUCXUsRxWDQfF8dwjGY/7MRlEIOJxlHA3e6Oj5UcB49HWQRD2e51fXZ8f3ixhYWlqwWPRC/7RHnt1rMu1t5s9+TJf20gIiICIiAiIgIiICIiAiIgzZ1jBmXp/ljpHmrCUXBP9oaBJggjIaXsPtVQPslwCeY7vK/Zaj0N0fLh7C93vfyFYSDtm1TB+z37WvlyfH4nJ055en+WObulcwvcE/wBoaBIfnfGF2P3tVQPslwCZpEsFPamrKN0fLh7C92Mny7eNjtm1TB+0WauvlyfEYtJqdXj7v9jAWfecc/x1dzkfr+eIl0tNo9aAQ3FckvLN19zDGEb2f3LmcFhHlDp6CYc1BTEwC4vGRDGpBFwLq54oFA4lJgoqiIgIiICIiAixTKAd3y7nr25w50fyOARrkyNdgwIybxNM8uHjN/0totdMr5IIl5C4LHSHDsvlrw762PBGAvnH2DYwDGW0ky6+cmf+J+7fymfbJ4D/AA1ejv1YkFAkU/fdx5S/tk8B/N9P/lq9Hfqxrx7ufKV9srgL8NXo39WNBQNFPz3c+Ur7ZXAX4avRv6sa8+7fymfbJ4D/AA1ejv1YkFAlPLgqlpXd2fPt9b9CnQHfvQ91onbXJuVEb+QqCHjWrS98t+Jo9+8a3h26ZqW3MA7UTvk73WVqT+yPtoV9MdCk3kk5rgSauhjrq/iR6BoFh6R5qM24Q8ak7bhdvDcZizwbkLYMNj55aBth2H65maa4RnC8krHjz7dLcOxs6+O7Ls4u4/HPz11LzPzgCRH01LMDycRC4ICa225wtDUgAD9vyjkseHmeTuWJWPJuk/Y6HOJnk55cZDK5j92EFFBgYvB3JxsIWFsjZdUTCiKIiAiIgIiICIiAiIgIiICIiAp5T3Zk556lhrq/TvyYAGaMsc8QdO0+a/8AZrDA+d7OF5LtpkoQP11se9IywYc72gMdjY9Qpp3ZSYZhMMYRzNq/s1DVwUvExY/FicHOR5iLwcuYXUYLxAqZG4gFi8dfNDIyvY2VMb3g2GV/ZCNkcNhjfh8gwZNbe1cmXXv1q4rvjEHOkWC+dS8shooDuIJkfyI+OxaI3Mp5/nEkenEpK+jYFht1jGNjIjmN3dbdh+Z+kIvfZIiVln4geqYQ+f8AYkcdn6G82nkKZZ595c3ogIiICIiAiIg/l+BT+9b6/Pf6W1+f6Pg21p8/7vo+f/f5qr1Xdx27BiL/AIizkmH5P7Zm6aACZuc+kZPeIh0MlIl55Em+16mzNGoy0QcFPd429e7sb+QB68/k1/kyTCwkYsZTuFmLHcNjAx7UXw7fX6P711a1/nb/APn+Ff5/QvVPnfgfzunvkwCfIeCv/iU1nuChqUIag0aLnvsirc6xAZOppRm35dZmULr+0ybgHSu67cyCZgOilpL/AHMOjm1MeOuaMCYj2hl6pmOnFOe1RO/zZLGijm+/daZ/ERfzvyxdWLkM1hU6YqntIp4idXdZaqbT4+BTO8TEb88L59s9fRfwfy7LPVEua7xsg8TMjW5uLUN4cWySkTq+vjUJCg81U2c+vr0cyEjeWdlxbW3sWYNemzXPmyWYsN1aSj3fMX1zF3GHTHWnVXioPObbYQimJpnjIVdunASQw2bRKQzFlDdhpyyMHRhkyxQfjN7q2PuSPyiP9gkvwZPTdtHaXXW20K8mPEDf5EeIJt5KdijXB3iSmAZzjJpja8z3pCsgh5UxmIk55WzHks2c7HkfWTBok1uOuLb9mHXbpjzVyV+FZF7qXn3y8TDwfJXGvb0y8Vv8q9at0O8i8jiHNbFMLawG0qtTnbNslTN0NLMpM+rmZbxOC4KlyQydgBhfWGyIbFiHSCBMjlYgjKMyvPVTNUZ6MGY6814eib2p0TETVMTG3cda9/pt44tsw4w7+zYv7166faF73tEZXRp4jmcx+b/p0nM3mu6Z6P6V5q5F2PE/PDe4yJgjDvnnOGNifYY9r+rwiN3cpNOctWY3K+0d1eLREem+OBfognLdiRZHK8L1z6Pw8XRYTxZNpZs2Xo8YHkK1/JDz+UyvuRC/c+ydGU3SLz7NMLERW3n2/HkqRvlZavTTYUNjENfK2vRnfGbJ8ZcLjWWzYyO2vfhyYcGJ92MD8/8Ah2lqEO6OBOo6SVHxe0c/QBNot00SvbsUXSfJ86S20ubb8oBuP2FzfLUVRyxZBSHYjwSJJNxVGXP0YRJFVmQksj3Xz7GufFBwpL/CLH200S8RR8T5ej/ID0D1OBZY8dyZ6tao9ly0KsZWktwvoUKVZzbFaP5KErMPe0wxi+Dgv0yrZsuyfF7sOcKZxb3pqinMTMVcxVRnKcrluI/v5enuYmZ4qtNrWnDXGJNFev5YxMnNNUb+52183O8/5FsDzPr4r5T6Kf5U/wBl5RFDuIiICIiAiIgIiICIiAiIgIiIOhpohIWnMW0WAicH8Wfh0h0zWMJNENpt0ZPheRm1ud2VokCNXp5aCNn1n7AxvL2NkbERjxNGcmRuQnUSy6HyVD8iyQHFOfxLokshcqG4X7iMYlGDg/IGsag2fRJscIYgXo0mL3bC1NUNjIhJJ3JbxF/So+6ulWcXgAjlSSs09iNmGXYMKCvMxT9EvLW+VwUvExY/FicHOR5iLwcuYXUYLxAqZG4gFi8dfNDIyvY2VMb3g2GV/ZCNkcNhjfh8gwZNbe1cmXXv1q4rvjEHOkU87YV6i5uvvx8rG93SAI43VbbIA7j6SkHT91dnrV2tLox7Fugvpvp00q/vOR7oZxz0b79bNir6N2w7LkABEL44llL6v+Y7zoFZbtHqih7waQ63wcLjg7QGccRRpru2S212aRZj63aHwp4clA5JBz1OMUeQt03JJhhGtUjxlI2wEccyePCQURREQEREBFiuT+8OUooOXyJ3WUspzNgv+y7hhAUAgsk9RdGBDY8MzY7tROa88cyhUpzGGgNWl+FKVkUmD2AN1ql4DqZyi3akITtIeD/KndHRmT5JqHZPHzEjpSjjQ+ukuHJm7m1bma+uH2UtiK6J514kiz2kIqVIL5JpOnYmPND7ZaLWRPGsvyZ7Xc8h2xM3S4tG5VoQmBWMMt9WmLDpv8d81aJrpMpXcOOzi8MWKZpccsWuTvcK81sDwyumIyn1/FSDTwbDVjiqJhCU+jCyLoPk34QvDRbpFu9P887Y8T9EFo/sjGDAN53TejTn6OXhzaH3PBEGZn5mYXfIwZHhpHnqYJiIBkXlDqiTB9hLy4ajKJY358575+53CkGR3AQ44C0Ytz3g1n1+3C0oIjk/kaWpMPia5ubGDMTyNLcqvxZLElv2kPMwsBDL0elpTnG41DAALFcmmFCouOMffiDx6U/hT+VE9Kfwp/JeUQEREBERAREQEREBERAREQEREBERAREQEREE9q+LvhpnzU900IW8s4tilPl7Fw1Jky8C+3V1ta/Jd8mX8UyBBFJUoNW1c6B9JJtKqh976S1D6jtCoo9oPpu4vmlvy0axHyb99hwto211RcUsbODZIsDR/DfTEzDlJFmzhmT5pPbmJnphZKG80ydKEoFVaXE52bF5dmfSXPQ9EGAP7G/RX/uxd/8A/wAc+LL9NNfwX+Nrm0i9Mk27k+dR2O91uQ2GenunZ/mWD5SIb78ebOTm3Hb6fXcRVpQgpU8EwcW5qGYpi0tbR8jiMJjWomKYxqhyIOqIuiSMYJBmSLoZjoFiGNBzYcLheN4wERoDAxz5ZdnR6d8bIJhzQPMDNYQvbk6EG18Vhx25yZ32tu/4efLd8Z2uiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiD/9k=)
Given:
Height (h) of conical part = Radius(r) of conical part = 1 cm
Radius(r) of hemispherical part = Radius of conical part (r) = 1 cm
Volume of solid = Volume of conical part + Volume of hemispherical part
=
Ï€r2h +
Ï€r3
=
(1)2 (1) +
(1)3
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= π cm3
Hence, Volume of the solid = π cm3
Question 2.Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminum sheet. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same)
Answer:![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RDuRXhpZgAATU0AKgAAAAgABAE7AAIAAAAMAAAISodpAAQAAAABAAAIVpydAAEAAAAYAAAQzuocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGFobWFkIGF2YWlzAAAFkAMAAgAAABQAABCkkAQAAgAAABQAABC4kpEAAgAAAAM1OQAAkpIAAgAAAAM1OQAA6hwABwAACAwAAAiYAAAAABzqAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMjAxODowOToxMCAxMTo1MjoxNwAyMDE4OjA5OjEwIDExOjUyOjE3AAAAYQBoAG0AYQBkACAAYQB2AGEAaQBzAAAA/+ELHmh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8APD94cGFja2V0IGJlZ2luPSfvu78nIGlkPSdXNU0wTXBDZWhpSHpyZVN6TlRjemtjOWQnPz4NCjx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iPjxyZGY6UkRGIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczpkYz0iaHR0cDovL3B1cmwub3JnL2RjL2VsZW1lbnRzLzEuMS8iLz48cmRmOkRlc2NyaXB0aW9uIHJkZjphYm91dD0idXVpZDpmYWY1YmRkNS1iYTNkLTExZGEtYWQzMS1kMzNkNzUxODJmMWIiIHhtbG5zOnhtcD0iaHR0cDovL25zLmFkb2JlLmNvbS94YXAvMS4wLyI+PHhtcDpDcmVhdGVEYXRlPjIwMTgtMDktMTBUMTE6NTI6MTcuNTk0PC94bXA6Q3JlYXRlRGF0ZT48L3JkZjpEZXNjcmlwdGlvbj48cmRmOkRlc2NyaXB0aW9uIHJkZjphYm91dD0idXVpZDpmYWY1YmRkNS1iYTNkLTExZGEtYWQzMS1kMzNkNzUxODJmMWIiIHhtbG5zOmRjPSJodHRwOi8vcHVybC5vcmcvZGMvZWxlbWVudHMvMS4xLyI+PGRjOmNyZWF0b3I+PHJkZjpTZXEgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj48cmRmOmxpPmFobWFkIGF2YWlzPC9yZGY6bGk+PC9yZGY6U2VxPg0KCQkJPC9kYzpjcmVhdG9yPjwvcmRmOkRlc2NyaXB0aW9uPjwvcmRmOlJERj48L3g6eG1wbWV0YT4NCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgPD94cGFja2V0IGVuZD0ndyc/Pv/bAEMAAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAf/bAEMBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAf/AABEIARMCcAMBIgACEQEDEQH/xAAfAAEBAAICAgMBAAAAAAAAAAAACggJAQsGBwIDBQT/xABdEAAABAUCAQcFCwYJCAcJAAAABQYHAQIDBAgJESEKEhgxWZfZExUWQVEUFxoiOWFxeIGRuCg6V6HY8CcyRrG2wdHh8SNCR1JYZWaGGSU3OEhndyQmQ2KHiJOYsv/EABgBAQEBAQEAAAAAAAAAAAAAAAACAwEE/8QAQxEAAgEDAwIEAgcFBQUJAAAAAAERAgMhBBIxQVETFGFxIpEjJDKBobHwFUJEwdEFUlNk4TM0Q2LxJWNydISitNPU/9oADAMBAAIRAxEAPwC/gAAAAAAAAAAAAHG8PbD74ADkAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAB8ZuEsf36+AA+Ms0sYzbR6pYcPm2/X1f4j4Sz04ycIx2jtH7N9ocer1cf54j8+3nnjUrw4/FoUubGPrjGnNGPq64dcf1iQl6dYrItusItYA0tnAeulkjjxnnkE0WM7kkuGDgq9pmzaxGue15GlEorHfJ8d1RjLSOSIgMlbz/fqU/pVczHJJNcTVat4lJ6kLdXfpsLantmXhJePpdP8Ah5hNvsm8Qds0O/tq/wA4tFxEbleaqafT6vmeG1nJYNGMvHhttt6/v47/AGQ6uscwjCMYQ247zb7R/wBaEOPr9W8IfR8/Gd7LXXpa3F53siGotyRilJSw8S7UqB8bV2MwEHj++LlmDjkHpqbJbENkTlv1NNkMtm3QsC01VpApVYwsbhVnhIi0v7ouKsJ4flnOokRsDlRqmOCT2+QbtypQk0uaDet6vskaUrAzK/LYqPm5beVtUCfNZ5LEVDVT82JVDkQ4UT90J1TLLMr6CRhdp+imD/lNEpp1bdu6PswnS1tcwm1qEuvIh7HcSxKpTlNv/dqWolvHmO3RpSUWTc+aM0sIR25skd/nhNCO0duPq39XXtvvtAfOWlzObCG/VNLHjt8XeMYdceHHr+eHDjwEoOVOpHmQ6dmxtMqaK2x8XbKa7WPOGamTDIZkqtbJ/IqmSoNaK9wkofKuRkWXoSsuo6R4jpa5Cok+p5685OpJFkj00qkhSS6m8/yW1Z8zz1vW2t2QaZv2Le5tNZFqtPvI9JHD0yL1v1fKdGxIalJKkHDOMUlAeztE9afVpTKpnIma9sXZaeFKWKRSKonqTRk5TbuV+EoTe7Rra3RC80tHS9VuTfwL9o2ZXMtpKXBF3bQqWsupN85jTO+8xx/ut9TxCmGVB82HDjH+LGG2+/8Afx2hxjEcxl/jfRCEf7vvGt/MLNhVYpI3Gomgz5O5GTeWDyN3j22jPlLq1Ew19i46tKfPi2OFW9xy1NRRl7VtoRFarOoqW0Y5SLFUz0SKztWptayirQS+mzUJ1Kso3PxVdZtm3behjtkAy2oLjTiFlNYJXKRw0vbwIHacJtzxFVWJfxDMmnHCN0a+SKPSkoVThQS7Gum0xCaH8U0mlhLRtYKWXTS27NvLorWkUtJpzpVVVnO1PUWFufLlLMnaW3aV+4oVUNPj/GXo/wCGvLqpUFWHPhz5IeqbeH3U9/n9Y553x4y/NCEP/wAcIx/V+/UNZOQeVKgwkbHEhqE408HZyIyCcxucamnbJR5DuEdpe0V1dLmqjWipcfJ9y0M4TvqFBtqiEufn6nco+bFWOksK3mPy6QmvFDd1U/6ScXUnybJ3fPMam2wnQq2ySaLFxTZQZHpM/wAuaiJbhIEsi7MEY2iDZ5xSLHFzVI8iyeqVMKBSJSVWNUxdBOJOdOemlwk1gobpJJnSq5attUxVO508SnVTYV+ecU+Eonv8OG4Js2r11Orin7Wf7uNO0py/p36Yc++6eaHVwj83H1bS7+r5v1b/ADDiXhGMYQ9m/H2Qm+b17/3ieq61wVC5tVLQxPxGmd+mpdN2TUroXDsv6WsDNaNwVq9aItWNUawJ2se/ybiUTpKklFJ1aVx6Iqusc151Mpkalk/BTKL+Jz9f1pCL3iC5vE6wZOqHlwmTmc15a5kZhJbDdHkyOWU9Ggk2cSaxqtU9U7jvmojWc8mkTUibTKWppsm9KZVpVp3EkKNVLZt3zFW1Qsw6nqGsJOJ8tqYl8Wm+gtvfvVtS6FVu7wlpfyep0/vuKIYx25kfV830x/Vxh1wjDjAOZzefHjx4cY/PDqh9kBhO2OXlo+GHzRZfMcxzvvQRvG36CcFLtGiL1l0+6Utgs5CqtOW1p3mdhr2lo10xJdXEqojF1JKc3mq49E51NWrWsa3sRmXZc91i9W+mmLz4YxGBTKX2xFB9jjGxURUkTSU5miZEcMaMknxlhRTsadtIordSqBHXFaYyoejM1xJ7rqUVSuUV37cR5XaobpzEOOW3DxjumRbuUXbenutOZjMppyumOsPj7uTJPm/H52/DaMPup7fz/wCPqHG3x+d6toQ++nt/P/WNErNvllOVat5riJY5QKDL1nUlivfurlxan7Vsyk09ik+KpVMJ2hSaCVjNopKHxHQcsm89TpdlnnVj4OmQodO0VXcrRVwmuFRHJApzsc1zMqcimQYbG4lcBpsQFg1zaP08KgfGqhljScRxkzBanJY0DVRalTJlyU+2KeOkmeOmcqt8GuU0ktdRWyLRqvUidTlor8/Hp8JXvhUxM4aoeop0370Pc3lKMriVBbX03g5icv1ao1Cy3EcL3wbUodUPoh/MORNwxuuG/D82uDBykcAE3aWmosTPyVY7VDjMWe08zubjhPNWcYpeChTxqqToxrJiQlWZ8knESdJz1ffUyGnRuWgT8ygoxk2safeYlnnXi6hMi7dAmDUGZ2cr1GKttDc/K1X6ILxr14ftqsi0uVRSWkkFYTSnyVN50uoJCBOxUCcntqtwniKpWnt5N3Yu05qcfcnzHRS+ymOkSWZ3gACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH841WKrSUx3V2NGaGKxkvHut22ztf9xMjneM7BRoKmriFauYqkWtD0ubU0mb2cnI0dQOEUVQtqShTynVMaVe590qqrN7mrUdrPMl9n64/2hzJfZ+uP9ofr8U/zSfuk+h2muOGolOE+uc+7z83BrSNtO4qLX6dfILH7KTKTExYZCUW/qvqQM3Pjqq0E56hbYjqJFKOAaJbJvG5/YJFezIycoTSlOm2mR1NW2xETVFbSvVNbxUlfBnU/0tzh2k1k45LBJ1cPI52W7taf17ka2pwpGbkpV2XxCXlOqZe8Km3QKEszqidKYgNq5/WbzLJUKpglVNJVpzJilNTpJu7oSjHaMJYe3jD7YR/fYfGPXND18Iw+yHH9UY/4jKqp7tO1OOnSElzjv1c9Ecs/QuVnPV88RPyXyXYnXw904XSXiNLm+yfSqxYrHzFrOlqss8BWxoJ/Atu3vKjRtUIbSK8tfZKYItdJiDIg1O6yuWSoS5I3FKk6laNc4nWa0lmhb0quYa40hsfVoQPsVRcJ80ofvbmuiNQKgvkwcNhFYtBkW20UhFLHLTxPWoUqflIKMiOoQlTrkpdzKc8DlQx8rGe6oy2+2aMYQ2334cPvhDhCPD99+HUOZYy78N94+37Y/v8AZ69xs7j3NpxuST24TjyzXTOdLp2vWmeckRTumM8Tn/MTj18zqPT4vVGDGRmFiSycb1mUq4ToO6UuNj24rdPE0eRSOuGzI3qSrtIAvrlkXChC4a8+Zo7iqiQxPiFYpBQspcNkobY8NqVNF2csiYqJ/H+50j8eDhoVQ1ioXb7LBTOFlcg81Hfes7PkFSdh4HwbdXJ9VJadXUylrk+z5SiKBMlEg30EI27VtwnKKSIf/ZZaKyulEq7vbBUpRn229m0fVtwk2h+qPD6QkkmljHnR3jw2+ffnQj//AF/fw2hCppV3xeG228dZ07mUuG9PYqcJUzaThtJJO+2rXCThPOF16R/x73XE4MM8ssNW4zBKGwiq1O4DbOCxLqJ96GPeZoTNL2DjNg5BBDycDImmW6NcZvz0lUhKYGibV6WcJuVWk1Imji4t7pORqS21zb43OJpXIpdKWDjl2VmYzYPMomDUeMz0vQhVKxRgu8gmwVivPFtWsXILnNx/cxvSQ6T58rFbFFKBlEe1U7aJ07mRqIinEKnUimUtth5vH6Pp4R5v6+v1bjnmbR/x4x5v27dX+IialnYl8c8yk3Gnb4/wG1HC5Z6FchbVV+6pXttccdWpfrD7Gr5O6UeLiLV8ysQk7iocssMBp9N9PoMhUhfeJNL49U1MbKaiYk8x4Qn64uHQo1jSNGRUqNXKC2q0ZKUlwmqt5NcXNfw1HaSbYNRcMOo8dsjcn8cXJYrFtO4eQdBub9hFGeu2yaLNC82S5Q8CWebHR0WeNlCmD2ibHybXyYbJIqmlVVyjtvdNdJVaCdobc5udDbj7f6vZt8+/0w29Y4lhGbbeP0R9vX1de/39X6m69O9cY+GelLvtcpr+J1ET/jY9MMKptLNTy0ucadQ/T6tp32+izJ6EUrBN06LQl7KZEp1MZTI+YsTNir7XINvG0XVk4xykYE89NXLBH0UMQtD6Q1D8spKeaVNNqk0vbKCPl0smE1TpUJKf4bQYnY0Y7E6xKMaWBZfGadwaFvFSmOPjPNg1V4b3pVIZUio0NqKNRNAhODdLedjKZMwUVof06E9avDyVWFW8jUydHxjHbbhvuLnxEqs8p9pj+RRq5wh02LPBW7r2zb5kZZuOiFGvHDc1xEI7pZiKpZXbdZxJ6tVWOG7zvJDE1JZCrtdxOI0biU9PnvjcSSEaeSU9Suik7apeHldDTwbsmyTd3I9uXdyEaavkEfIBT5Es63qpQZc0D3K9uCmUsSS5VExs2yhd9HnVMo8zWquT7Yui2SSdC3T9NPOElFYmVAsbRU7HRxHqjw3+YLn0qTupKGniMtQ+0PKnhuc8j9fhH5Y9sGp1i9JHHXH4o0/iRFrN8DK104TN+TdlfSlTIS6qq28yPLVcRLCo7fmRBJyVQejlNYnNRJejciRktt5IXvpJGM8BlJhvic3WFzK2bGtScrQ/SVst3WcGUyXhiSmh9E/dlwj5xVDSiYJ9PJUngU0z1VGME9SppyE9IkloU5qteeWpPXy3nqRh/Ztw/wA2Mfp47x33+b2hLPGbf2x4+3q50dv1dfV6vmGviVXX4sziqnqsdXzjj/Ql1Pd8vuhPjti+/wAvb+gAAQUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGFWd6RzMXuKzopDAJ1EIyGWp3OjqjSue6NhYGaETUStxEWcLHz0WHLfupQj6QtcXrBN29GLYqWWkoDalWl9H5pPSO0zVAASA9DnlkXaw4A93aD8NMOhzyyLtYcAe7tB+GmK/gAEgPQ55ZF2sOAPd2g/DTDoc8si7WHAHu7Qfhpiv4ABID0OeWRdrDgD3doPw0w6HPLIu1hwB7u0H4aYr+AASA9DnlkXaw4A93aD8NMOhzyyLtYcAe7tB+GmK/gAAAAAAAAAAAAAAAAAAAAAAAABgrqL5hTYFYeurlZBu/fXlbG8be2igfS+VCRO/fCdRFNpNGCtmT6q8zUiKCvlP6s8ydrxnolE9OWanUn8pL56/OWbEY1U26pu+rFBYKB0z8yTbWtu3zXuo+LuuKZE5NBXnXoY0DKodx3bV9FLp0quD1WHqdS1ynkpbVKVVV3FPn209Wc+Er0Yfw4y5x2zGesL16oZWjiPGEYfMNdBpqlYOFSXYdV+/UZHBdk7YuLeMGToppXtXy+cy+aEzIyRy0kTt2i2+ULgyuq3pwd0SRVs+apqR0aN6UKWlUSHPR6vpEP5JtquYIEjLtK/wDI+d8r2xfMiXasa+6bVon3dhZnSMaH3RO7ytM2ra1p1I7COTrWyl1W1dg7ViNThA2Sl8kl1pXIr/m0rmv7v/NO31jmO8dY4BskjJ8beMfbw47/AMT1+vrj9vXuOebHn87fhCHH1/8Aw4y9f0+rq+mI0voTWaYp4MzWYxha1t3vV7dvpitTyWbt+abC5SkloaznLgEaMR5dBBHWOFvUKWnUJCbxU9fIpRqpOtWlZqVsmVTXo3agt6s3iWlvrDNtmY0OLhW+isTiGy2yHKnlNSZBpZrHqSDSKq4Z9cKArVSXbNxFvSVLdrhcJxFl5GpVkg086KjWCXpHHlrxNp+jJClLSs6i5TvSXhqKXmczqFEcpp6arcucOVlHFSlCXfE9/Dp1L/8Aap9lzk3n9UIx9kZf1x2CE3CO3r33j9v6/Xx6+IweySz+xWxSVxa3TyOAo6biXraqd5r5FNkzD3v0r04zyKM6JSqneWiVYNvHNOWzbG2NzGJJRcFxIJlJ3F3QO7ayPry6Tp9SoYUu1qiGJjntg/iTjiZERy2GRLbmD7Kh8YY4ZEZCp9at7VOG5lSCeaBXNWeJJvyQkVBEqje5VeRh4oHLato69ZOwXCXtpp40Lny0U1Xbti1ZeNrlw4Spmp5XPw6bUJ+zxk7dqVm0rt1Q5TjntHVdWvbHc3a82PO33j1R2+2nH59+uP07w3CEm00ZvVCHrj/8nN333jvvHf7eI1brzUvRyG1LExp2GbPukZ3Sqx+9+ii7qdbR+FWTWSoi4SfRxUlaxMimMURFK38tso6B2qchqzjUGtbZRUfQpZ1yJWzxlhjzpb6xLa5ms/i8VvkrE2h8uchyl5TghQCVbF6Ui0qri0C8UBSqky2jiLakqW6XC3TqJsCJSrJBp5z1EsUvIcT1b5OJ+3l5km1p1XbTv26adiilttTnzFE84W7TVJvumuSblLtpKvcpahLP7i1Md/srpypN60OqH0QHIwGbTUhw3eV0SFpG3dkyUanWhm4pA257Val6CNoneUbR169NxU0x+RSrQafYN5j5JzEprKpk82Llqm4pyEx9cT0/IJlSVqHlD6Z24z44OIm2odVdKG0ck9RBu51RIIRpnjdsxSjYFJlTJTR0nZ95pAORTZlqZDmatTg5To1UcjeeTKGaZRzUk0p4WtZxjL/pOO/9MlLKT7pP54X4uPczNm2hx9m0eMI7cdoQ2+jh944hCEIbdUYQ4bR9sJo/1/Px2Gv8g1JsN1kkWpXCbeKscJt8chrzFZrpaTeuxQPlFkEVGCtKThujNI10NIuUdVTldGnlyplKrUwmkcmrYqmP75T0bCtSuamvbDPU/wAgMgiXTHUi+OMVUHDMZzc+kA5qBgkckYrxVy4vHLnFjc08bzYrqOOgSQ2tSNu51E7Ur4KdMyKSlPPbt3GCpmikYdzCzh/f7LmMcqYwSk6qJjNNSpaziVqOc5UaW/lLG33igiMsIxk3jtGHDbj7dvn/ALPsHHVNNGHGM3Dbb6fp+zr/AKhrcZDVawQyPXbUN20L8XioUj5lqzM2brGDUPQiUg6Erd2HnVw04jHEWzdJpBKBdt5aVpZls3BKpKjlo+SEsVSlbWnRnqRw9VOss3q8zN088f8AEo6InKbjKZ18h0c5q6VjOP2lbAwIWbQB8c01Njg4CyJ21bh1SCVdJc5TqoXre3LqI+hLToy0ppKh7QrzZ1pq9YsJucznCiIn3zy3JyurZ5h3VjSxxPXa8cTEwb7AGvxu9SfC92HFJmvQLv3x6eqy+c8rQKjrNW8xKz7vnTPVDOk5JYxeRB63xAwL2naVqER1UU6faBy1Xc0YEijrxp+RTqgqSeXYqZ2YsZoJA1cDGxwVI4CAJrMsuLhx79qXqQqAv5TGU0mql5E4LmINKJdXGyaqlJp6cJ9NH5+oWwrRkoLi3S9S7taNW4ecfZ59Pft95ScpPuk0vf8A6manDeHHjDfh9I+HxdpuPr4+vbjvD74DDVrtQHBh7FwTNqzOaWJ7vOIfUr64JEC2GRzOL5ZHFMssKpmZ1ClJoxZnp8Z07Ypp1zq4jStq8aNpL5evPSpSzVKes98dayVpstVpjkT4+kStK2tyfxexeW8hq/8A6GZLn6vyjLLRQkC7Y7GCo0qhg6rYp4mMJqlVQVHmSF8d+alF7jTUEmRzqqXN1PxtNZSnzSblf8rpWJefi+HvJxNu1qr0StFE+2IcdcvosduY3/AMTsiMvWHxgMG7JHfVCpoKh4DU/K2ybxtmqeF+XXXN+iyyB8sLxItKwCCcpxjpPJggjLcq5QSpv0cSnlySRS16NVRWklzi4r9Y3TlQV6rbJW5KzUqaANGloOKpixo35PEC2hc/BKklczyichxk+1p+3jdINxyRZElVLOGsFInkfWu6t0loKiRUptS0rDSOi/DsqtuPTd8Pvjk7S5VPdpOPdG1QBh9jlmnjflgdOolmJcMyP1ay9+jbdz0ioW7c5rVUnJHEJoK9AKWCVdVEpE8OEK5aekifIhfENE9R6rTnOv0kpLqlLPUhmCB2f6fz/LIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAepXcdRDMe17iPc5ig9GGyaFDqxzXHUkhWaHkU4h29Tp2rlgcSlREUnh+cSEJCUmteclTxBdKOvLbT0rW0rV56dOcD20AkE+GpaWv6BM++6/HL9q4PhqWlr+gTPvuvxy/auAFfYCQT4alpa/oEz77r8cv2rg+GpaWv6BM++6/HL9q4AV9gJBPhqWlr+gTPvuvxy/auD4alpa/oEz77r8cv2rgBX2AkE+GpaWv6BM++6/HL9q4PhqWlr+gTPvuvxy/auAFfYCQT4alpa/oEz77r8cv2rg+GpaWv6BM++6/HL9q4AV9jiPGEYfMJBfhqWlr+gTPvuvxy/auD4alpa/oEz77r8cv2rgBvO1YsUHTzewKe7GRnzdAkrjuDeNTeJkycw9UyfQckzevQ2zlGch6cJEkUx+VyVyhHm1GhNaJlRz+6alCSehCjNWq0sJcr8D81csXgxIygVCJYlGOZjJfvihrxjm21DMx2oInJax4kGQ0ZVwTZksDjOxr0NW6CTXCWp0q7de9O5yLWiPOjyF0rU1dRnkjgVHlp+ltHbdhc+uH/lfjnx39X/AHq+H9nVvEIctO0tobxgwufe3/pfjn9Hryr36/t9sN+AU7reVS/ibfGM006ZuOmM++exo82fBnjMrcmn8K/ksZ49WbEmv0vV03mQGmo7yLQLRsQj8UFNn2s3zbIrycyAyhPVEscuyQlKyhWI97HualMr50T1SnxTWUbr3DlSpH0cmNo26Tiq5qFOvcaJ8gMe3VwOXuIGO7m5ENNj8eWrEarKpUL03mSKTxEZ9aoLJDJRBHlNnUZk5kBhpk2RLF2KaINymKoZ5PsIl1akbminlkjnV8jGSvHMb4afpaR3/gEz79X+i/HL1fRlbw+fqHMOWnaWnD+APPv2/wDZdjpHh/8AtZ/bCH6xg7Vyq5oqnDp0NWqqSiH9ZdTSdXLU3KnDmcLECi74dO3vj3lJP8sdp575h4VsU6rlr/TW1GscGWTLOMvX02yzEBcYwZAuK4CCc1k23gv0GqEmpm1NipllfF6o2xKkDWKZpuJTaWms0tWTqtkUabrKuvFNfXi1pKZGsk32jYklatWXuzTTydrKdcPZdJpSr68LlUXPiVuyWpGVt5zRApu5OjqT3xCmKtiq4pSlCpA7mtvSupV/y2H0nLTdLWXeMGFz72jt/ovxyhv1w/2rduuPt/m2g+GmaWsu+zCZ9QhHb/RdjnDqjxjv0rI9cfo+3ht6K6rm2mzYmiy9d52tNuqG9Tf1MKqp7tvj6mpJTlPozz2rf0Xh3ctuVOI+q+V9M+XfTHXsbTcl8MctaWZbx5e4nUcfF1XyLwpp4mrhFZEug5rT2Dcn6TUx4oEW5yWMkQyD8SLojngrTe0VjcnaebmSpUJ6V1bLCadSXFO18fxk0sVxi2+unKfpteI5VtVhTgm6WLCrNTac6InBXi+X6nbU+gqiFGUSZSJ8qTlybpQ8rV7Ou5Xu5LzGJNbUKiltpLirU1p/DT9LWO/8Amfnxtt4+9fjl6voyt/m9v3c/DT9LWG38Amfnxd9o+9djl6+v/xW/wBnUOW07LbsqHVOXnnx1y54WqvxEYfpirid5JXXKSpSjtStMlKwsrT2Ybzl9Wbo3TxMfSOp6y2drXTNMp0PZ4uLLEt4Ua467VjeqtNJ5XPGiXMKHNbeYiapzyNdH1KmRHBHdIFS1Wxo3NWYlmlWfMmrUrXAzHfSDyMalp9H5tVkuWcurvAVx8t1U9xij1OuIefyB9k48pOjINFE6a6WseHhLFxyiCm9KqKXt5JrO5nnqKaeeh5TE/4abpax/wBAmfnxuG3vX458NuH+1bw/f5xx8NN0tYcYMJn5tDhGEWvxzhDjw4/lV7/rh7PmGFFmm3o/JKaaXmVMtvVajV85/iNXf6TFSTwjZXL1N9Xkl3eJ/hfKvn/Lv/VmWunvpEOFikZYyId5mzb16kpiUtXAPGqyBk1H9QeW+J4VqTkFCNcMg04FmhVPiuiV8dp5UejSzJ0u7siVlqHaoV6Unr+WpJirmcv8TcrERqIrPNfG0wYJZFT440I/G1w0o/CkX6TMWgv25cA6VyMdNt5kM3jhxdIj9xrFWVVeyx+pWGkU6oJiSe2eFOwUU1dLae/hpWlxN8eDDZ8wllhzow97DHSE0YTR5sNvyqowjGEY8ePV1Rj1Dn4aXpbx2hBhM+t+qP8ABfjrDjHhDj0quHH5ocPn4Dep3t2nr2421KqnLw15dNdFzKlTPqsZrd9Yffak2pxNOpxjEPjj5HsnHXF0rMeUMZU2STWtNSsBjIUzZmXjdULDyhe1uceaqAI24WMs5rLza1K4VLdtueuJEn8tGnJVW8IyyzeRqTTe9MWNJPI5iYaSsVas2YMpsEng1EF68Howpl+ZUlGR5c1HUkbaVuapugk7KcHqe98IrlWEyniladrLSPfRedRzTUpK2IEeWlaW28YwYPPqPX/otxz3322jHfpWcePxY8PVDeOwQ5aXpcSR5vvDZ9b/APpdjnGHGHO/2qt47bb8IcY+uMOIy2VLTabSpcNVOqMuK3Uv/pbXTK6s5U6qrupaTVOsVKdKjG3R+Tw8TL1Gp1GI+K+898qmF0eciW+ZbSJaJbLhnLmtgmuMvVA+hkk1E4FKU/IciE49JEk5mmrTIRNzHJsQe+MUwUkFLRSUs8bavVpVK8s9KSfxxh9I7NFEmelY3jlrDGmgzemGeZDJi2VrfLF1r9zX2b532+WyKSS7ikDRpE6nGtXKdmMkjSUjfTKtz0vXnNj9VUnXninaKUVOPXw0zS5jxiwufO038Xdr8dIRhzYfG3/Kq24w22269ofbz8NM0uOMfeGz52hCPO/gwx03jztubtDpVer19W28dhddNVd/Uai9DeqiOU1GXHVOXDj5pHaU6FTTlqlOmqcz5nZLffHE9OhlBgto9OPjDTx4bF3m4bV40/i2o3PNWeyIk1ItQiF6TXRqWuSSpJwSjTuWSCVGLaIXh4QK2ROrgmTTsTJiE52vVklvLxr0kpc7N9LvEZwsINP3HzFNyzxJ3jhtKl1aVKVRtjeGxkkqxkfrxXK3zkRGCzTifuzCSWU8p7zn6Zt6numE81ahPS/ytbRP8NP0tdtveEz74f8Alfjnvx+jKuPX9MPnjtvAc/DUdLTb/sFz7j/9L8cv175Wi3VeqV9NY1NaqpxhRS1jPHxfOerCW26rq527Y6c0v26LD+RRO2+ODyN6r7BUKzUAy0e8msre8pXDcugjsCyVHm3uixmpUqhqYsvhgyzhyeZqlWY4oTETikMIz0pZbiS7t4TUKumbJPR+ypfLLpx3utlq0shod5SMa87E5qnzxPJZZV4fsu2xVLKrMXmfZEkaudtzhBKg7OnKkno1n2SCWVMjjTq9cI5TLBMpypSxy+Gn6W/X7wufXzbNfjnw34evKvePH7vZHgPjDlpultGMOawmfXH1Ra/HTbh/91cfZvDfffhHYZU2q7d/TXks6WcqlZbVF/E99qWeOHhyKZuWtTYTUayE8YhOlxHul/0NzeWeKGRClzPxQzgxsu2gXKxx7QD5s8p2UfVbKpp0gr0a+JYnzKZUJF3kO0b7nyOW6XUKOJoXBHFrFFbq5KVatvUVKSjbVpVRr5fzSEy2edJ60lhcr/HKVb6kSfwzs2wMrQ0dAhTSZUbDpUhJXIMFkTyIhUH6HJVEcFZnXR9JOqV0ak9GpJFWc+MtanDGuHLS9Lnmwj7w2fPHeMIwa/HT/NjtNv8AlVb8d+HXHbffaPAcR5aXpb86G7C59fF33/gwx0/ztubx6VW3DrjCPr3F2W7axhOI4481Tq4+7URPZYeC6K6lUqkl9lUz1nTbYxnnr+JvEYzEJy2w1EMxstzo8RN03WRLMYqN4iyAnMlPVWpafscVrovV5mrSWoRWyfoE9aZXFkqVlJFMpas0KV3C4kTm80a+zDmR8pCPHjtD7OZCEdt/3gJC/hp2lvvGb3hc+tow4/wX46ev4sf/ABV7fxoRjxjv9MeA5+Gm6XHGb3hc+ub1R/gwx033/i7/APer5vX8/Vtw32gLdXLlcOX6tpvPu4U8YyeW1adDdWW21V7pKmx88J46yV9gJBPhqWlr+gTPvuvxy/auD4alpa/oEz77r8cv2rhJuV9gMRcL8uGdzvxhaHLdhLtQXjYPSSmJuQSqshqkquKbwkUp0jFgk1SV1I1aNufJZZpY2SymnT1woUnXvCa5u0YqFSjKidVFzl0AAAAAAAAAAAAAAAAAAAAAD0OzGQjB5KpkyXeOz2NK/qKJVFepQ1VzKuSlXWSJWorIqKDYyTBifIM8UhJTP7YiPSg5qkU88lzSoGxLUq0JZa9CvVA98AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADA/URy3xNwuxKdV5M2L0jqMZVIzZCHDbmpEUK+8foyVpOdlUjBJduT6MhK5hw5RHA4KayYPpqaVgl6KiVa4ukuhEwrlSnv3s5c58ddPLHdaZM5Oq+CTQiVj5tKCcvkpGC4c9bGNmY3SYapt0vPWtfStcqeQqMoWtvNVokZCQlR+tFYoE0iEwq1YnotMRsRMtOVHZZW2odqF2R802mY0R6fp/HXHdPH51ZlzhWBUc06Zw17bnUlNNHlYjrHJPYUcrcp6cicVTmqgjlaNnoJKRJ20uLoGsFlc2+S1nqWvrvIbRiyca9cUj+8olqcZbLB5n2Slyk5Cgpq2BiYqxb5VY1nZeeVD+c6pXCbkSZ7TpWpYTXVBYVJzyKcTfuLpjcjb7J7P/vFXfiVDf7yKz5LR+/r+Oj+HPFIV+ADrBumNyNvsns/+8Vd+JUHTG5G32T2f/eKu/EqHZ8gAOsG6Y3I2+yez/wC8Vd+JUHTG5G32T2f/AHirvxKh2fIADrBumNyNvsns/wDvFXfiVB0xuRt9k9n/AN4q78SodnyAA6wbpjcjb7J7P/vFXfiVB0xuRt9k9n/3irvxKh2fIADrBumNyNvsns/+8Vd+JUHTG5G32T2f/eKu/EqHZ8gAOsG6Y3I2+yez/wC8Vd+JUHTG5G32T2f/AHirvxKh2fIADrBumNyNvsns/wDvFXfiVB0xuRt9k9n/AN4q78SodnyAA6wbpjcjb7J7P/vFXfiVB0xuRt9k9n/3irvxKh2fIADrBumNyNvsns/+8Vd+JUHTG5G32T2f/eKu/EqHZ8gAOsG6Y3I2+yez/wC8Vd+JUHTG5G32T2f/AHirvxKh2fIADrBumNyNvsns/wDvFXfiVB0xuRt9k9n/AN4q78SodnyAA6wbpjcjb7J7P/vFXfiVDnpj8jc6/wDontQDf2++Mu/ErHZ8AAOsH6ZHI3eyf1AO8ZeeJWOOmNyNvsns/wDvFXfiVDs+QAHWDdMbkbfZPZ/94q78SoOmNyNvsns/+8Vd+JUOz5AAdYN0xuRt9k9n/wB4q78SoOmNyNvsns/+8Vd+JUOz5AAdYP0yORu9k/qAd4y88SsOmRyN3sn9QDvGXniVjs+AAHWD9MjkbvZP6gHeMvPErDpkcjd7J/UA7xl54lY7PgAB1g3TG5G32T2f/eKu/EqDpjcjb7J7P/vFXfiVDs+QAEIaK5W9ppYlInG7HDCHT/fooxsb2eCVVRKoDNsGqOWsRPnMorzKVuE2SKV8IvavD2JutVErarkuU2KjVqzmheq9cKVTOCpVWnLQmAfpocpGgQuQTBuAROkzTmkFJRoFapq4mqWB2VVZvcFzLc0jKagekijTx2VGacVKZUdum1WkVSUn6WWKaJFWQ3VtRkg1PWHZvKLlVenVj9kEgSJ02kdTTlcVMrZDqCjPCwNyyRL6jRn5aQyLPIHZMfEBsWlh+jlMnapCqkirCcoVaQUqcVZBaXkMIPyx+SMZjfy9yi0ZMpV5/u+U/SSj81f8vpVC5hoRGEv/AAo2OaTXJP8Akkq0t+SyB2HAD0KwD9NDlI0CFyCYNwCJ0mac0gpKNArVNXE1SwOyqrN7guZbmkZTUD0kUaeOyozTipTKjt02q0iqSk/SyxTRIqyG6tqPvoAAAAAAAAAAAAAAAAEgfIrPktH7+v46P4c8UhX4JA+RWfJaP39fx0fw54pACvwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGFucuc+OunljutMmcnVfBJoRKx82lBOXyUjBcOetjGzMbpMNU26XnrWvpWuVPIVGULW3mq0SMhISo/WisUCaRCYVasTzOXOfHXTyx3WmTOTqvgk0IlY+bSgnL5KRguHPWxjZmN0mGqbdLz1rX0rXKnkKjKFrbzVaJGQkJUfrRWKBNIhMKtWJ6LTEbETLTlR2WVtqHahdkfNNpmNEen6fx1x3Tx+dWZc4VgVHNOmcNe251JTTR5WI6xyT2FHK3KenInFU5qoI5WjZ6CSkSdtLi6AxGxEy05Udllbah2oXZHzTaZjRHp+n8dcd08fnVmXOFYFRzTpnDXtudSU00eViOsck9hRytynpyJxVOaqCOVo2egkpEnbS4u3xpBJpZAJZMIdDJ4iSCHSJCVJhIJBKkhcn0skE6R2FMlJE2lSMkoW5KQEicJC+3IyFPp+hTtrG1p0reS2hSl8oCQSaWQCWTCHQyeIkgh0iQlSYSCQSpIXJ9LJBOkdhTJSRNpUjJKFuSkBInCQvtyMhT6foU7axtadK3ktoUpfKDzoASB8is+S0fv6/jo/hzxSFfgkD5FZ8lo/f1/HR/DnikK/AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABIFmR+eP6T/ANQBxP6Cal4qDf8AYVo8pGiXWP7/ADfkDos25xDVTbgIpSW809gdFs1T3fQmtTItlpHhGfp07LCxRpZUJ2umlUklWUJ5Uo9SkirT9pcUJfMyPzx/Sf8AqAOJ/QTUvFfoA68f8sfkjGY38vcotGTKVef7vlP0ko/NX/L6VQuYaERhL/wo2OaTXJP+SSrS35LN3zAP00OUjQIXIJg3AInSZpzSCko0CtU1cTVLA7Kqs3uC5luaRlNQPSRRp47KjNOKlMqO3TarSKpKT9LLFNEirIbq2on/AGFaPKRol1j+/wA35A6LNucQ1U24CKUlvNPYHRbNU930JrUyLZaR4Rn6dOywsUaWVCdrppVJJVlCeVKPUpIq0/aXFCEH8sfkjGY38vcotGTKVef7vlP0ko/NX/L6VQuYaERhL/wo2OaTXJP+SSrS35LIHYcAPQrAP00OUjQIXIJg3AInSZpzSCko0CtU1cTVLA7Kqs3uC5luaRlNQPSRRp47KjNOKlMqO3TarSKpKT9LLFNEirIbq2o++gAAAAAAAAAAAAEgfIrPktH7+v46P4c8UhX4JA+RWfJaP39fx0fw54pACvwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABhbnLnPjrp5Y7rTJnJ1XwSaESsfNpQTl8lIwXDnrYxszG6TDVNul561r6VrlTyFRlC1t5qtEjISEqP1orFAmkQmFWrE8zlznx108sd1pkzk6r4JNCJWPm0oJy+SkYLhz1sY2ZjdJhqm3S89a19K1yp5Coyha281WiRkJCVH60VigTSITCrViei0xGxEy05Udllbah2oXZHzTaZjRHp+n8dcd08fnVmXOFYFRzTpnDXtudSU00eViOsck9hRytynpyJxVOaqCOVo2egkpEnbS4ugMRsRMtOVHZZW2odqF2R802mY0R6fp/HXHdPH51ZlzhWBUc06Zw17bnUlNNHlYjrHJPYUcrcp6cicVTmqgjlaNnoJKRJ20uLt8aQSaWQCWTCHQyeIkgh0iQlSYSCQSpIXJ9LJBOkdhTJSRNpUjJKFuSkBInCQvtyMhT6foU7axtadK3ktoUpfKAkEmlkAlkwh0MniJIIdIkJUmEgkEqSFyfSyQTpHYUyUkTaVIyShbkpASJwkL7cjIU+n6FO2sbWnSt5LaFKXyg86AAAAASB8is+S0fv6/jo/hzxSFfgkD5FZ8lo/f1/HR/DnikK/AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABIFmR+eP6T/ANQBxP6Cal4r9EgWZH54/pP/AFAHE/oJqXiv0AB6Ff8AYVo8pGiXWP7/ADfkDos25xDVTbgIpSW809gdFs1T3fQmtTItlpHhGfp07LCxRpZUJ2umlUklWUJ5Uo9SkirT9pcUPfQADrx/yx+SMZjfy9yi0ZMpV5/u+U/SSj81f8vpVC5hoRGEv/CjY5pNck/5JKtLfks3fMA/TQ5SNAhcgmDcAidJmnNIKSjQK1TVxNUsDsqqze4LmW5pGU1A9JFGnjsqM04qUyo7dNqtIqkpP0ssU0SKshuraif9hWjykaJdY/v835A6LNucQ1U24CKUlvNPYHRbNU930JrUyLZaR4Rn6dOywsUaWVCdrppVJJVlCeVKPUpIq0/aXFCEH8sfkjGY38vcotGTKVef7vlP0ko/NX/L6VQuYaERhL/wo2OaTXJP+SSrS35LIHYcAPQrAP00OUjQIXIJg3AInSZpzSCko0CtU1cTVLA7Kqs3uC5luaRlNQPSRRp47KjNOKlMqO3TarSKpKT9LLFNEirIbq2o++gAAAAAAAABIHyKz5LR+/r+Oj+HPFIV+CQPkVnyWj9/X8dH8OeKQAr8AAAAAGtl0dUvChlHLeFqXLclxS9W46eh9Z9TRPYxZTrhtWXLnIShUsEebO49iFZNTM4iCJRkRrTUNBQKVWp9P0rOFaFxUp1U/dTSO/opfou77IRPBsmAYqEOTJCpH8TzHpttnmUKXWOPxbkYnMpU2kik+xFOiM7WHo4Tt0TvUWHVWkbuwelM9FfWiatk/Wt7hsasFdSVMJJ6UlTKreHth98A/X8vzTH6/BP8mn7NHIAON4e2H3wAHIDHpIZHs8v3oeTHVJrKU6erHgqbU0eRGQTqotPROweIrNDtt7nz0akdqmj6VREpMc1pvRdRKGZNxkhTVNOhUnpc/ITnQ2jHfq/f/AHjnGJ+7OfbDzxgfr8v6r5rufCEIyx3j1euP78esNpYx4R+zaP88RxCMZoTQ3hvwh6vb/cPHFIoipIp47VB3cy2RQmCcyPj288nGv7kKymwnNDOpDaG8YSWtCerzYQjNUhJ8WG8IRl8927bs0eJdUP4U1y/i79sKeOE30OJeJw/Z+0ffEwvfB5HGXjw9f0x6to/PHr/AJhzLLw4+uPV9G/9fH7Bgnjrna3uQ2KF3mhOg3WZdgaiLPnST6ndsvQd8eq5oyhLwV/vnkyTZhfOqfW5BVJZTOe2TihpJ1z4zktWlWRlOpcUJrn86nqGsAZOLgmgEl6crahqJIFx3QxxXxOmPNyMqo1t27I3TqGywpK03TS7Ip1SkFaTV0qUyo66uJas93TVdNKQ8nNNqrFx3tkVfClU12xOV6Kw2+PaWFU/A8XG1vpnKw1PWHyumJg2AgACzoAAAAYW5y5z466eWO60yZydV8EmhErHzaUE5fJSMFw562MbMxukw1Tbpeeta+la5U8hUZQtbearRIyEhKj9aKxQJpEJhVqxPfsZoZcM7ghjC72W793ags2wZYlLjc/lShDVOlcbXh2pSVGI9JpYrpxpUbg+VKzVJSlkzOobhPJOheHNtdrNUJZGU1EqLaJzEbETLTlR2WVtqHahdkfNNpmNEen6fx1x3Tx+dWZc4VgVHNOmcNe251JTTR5WI6xyT2FHK3KenInFU5qoI5WjZ6CSkSdtLi6AxGxEy05Udllbah2oXZHzTaZjRHp+n8dcd08fnVmXOFYFRzTpnDXtudSU00eViOsck9hRytynpyJxVOaqCOVo2egkpEnbS4u3xpBJpZAJZMIdDJ4iSCHSJCVJhIJBKkhcn0skE6R2FMlJE2lSMkoW5KQEicJC+3IyFPp+hTtrG1p0reS2hSl8oCQSaWQCWTCHQyeIkgh0iQlSYSCQSpIXJ9LJBOkdhTJSRNpUjJKFuSkBInCQvtyMhT6foU7axtadK3ktoUpfKDzoAAAAAAAAEgfIrPktH7+v46P4c8UhX4JA+RWfJaP39fx0fw54pCvwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAASBZkfnj+k/wDUAcT+gmpeK/RIFmR+eP6T/wBQBxP6Cal4r9AAAAAB6Ff9hWjykaJdY/v835A6LNucQ1U24CKUlvNPYHRbNU930JrUyLZaR4Rn6dOywsUaWVCdrppVJJVlCeVKPUpIq0/aXFD30AA68f8ALH5IxmN/L3KLRkylXn+75T9JKPzV/wAvpVC5hoRGEv8Awo2OaTXJP+SSrS35LN3zAP00OUjQIXIJg3AInSZpzSCko0CtU1cTVLA7Kqs3uC5luaRlNQPSRRp47KjNOKlMqO3TarSKpKT9LLFNEirIbq2on/YVo8pGiXWP7/N+QOizbnENVNuAilJbzT2B0WzVPd9Ca1Mi2WkeEZ+nTssLFGllQna6aVSSVZQnlSj1KSKtP2lxQ68VPZTrrko+qU4eJSceCfL7T/c2gkHOcRli88KL12WpLHAnnlJDo0LI0yBOI3L9BI4rI7lREUtRMIzJ9jrprFEsrVr51M19ZhQOy0AAAAAAABIHyKz5LR+/r+Oj+HPFIV+CQPkVnyWj9/X8dH8OeKQAr8AAAH800N5Ztt+MIev54dX7/fETEKVWLPHzOzXJMVBivlw6lHKJFYoEmPBc1+JmRbkN6+56TYp1G2PkzK8KQb24aBIEyfOjopT6rULiuekE+n5qh/L5elBO1Yxp54RhvDrhHaP6x8uHHrhv1x9kN4b7bb779X3Dz7XTTqrVzbGu0C0VabaampVVVU8xVMRzz7Glu9sp3WspprhP+73/AKLtBGw3uKGY2Fh0z9vDG1z31WLB8nSdNoTUuQN0vS9JqJ95X8RS2nx/KHbbaFSrBcwIJjeCTTzeKaVYq2mS+URUYf5KuMI15jBlaZ4/6tBAz2JjjI5FuuQaWC3aNE4u6d2SeCyAUjgty93Pd81ZzHhcnimcQhXDawKqXpkvYejCpUtUlIHZ9EfQyVJqqHYAcyXebnQ/jde3thCEIfq+zj932c2WffhvCMev1R47xhGEfV6vnG1uvZepuXFO23TRT9rO3U3tTxOEvMQuHHPCM99VFp27XWpy3l502m07xEKPLz7uG2RNZlaZ1YrPtc2ZkcMnAsrEgbTBB38BrZr2ocCyLCrJWmR1IO652LZWiiCBDTe7zujkbF2lE2MaaslhJJTWNSNNUKiWfyLLvFl/3ezKzXv8npVkibFx26xdjhpkpa6V2ZWom4LFJYkb2HnU6xWdTEl0k1Nhc96SfyVVKVaJ9SNxbKVVqWsnFf5VUJD3P5au0uddszteKxqSZykEdOe3ZenTFwG4KVom79fIqyVtKtVR5kr0hbm9RQJ0rVNKhUrpm4PbW3pKCnGea1jWhSqRH9bjua3bPos/ch0l0i2xQCatZbxTrtw1MUopFJ2ymu5C2nWPlae17UhJZIml7StpK13dUqU1apJTjGMZ5YBQ3blqPiWImGnUs9vMPCdU5XSS5mVtX2XKWHlaTEer0yvr11DxnMwy1w7cpu869WlStNjqZQyqyNwmao2wMyoTGNxgSEsuRNPHt7Em+hwVZLkiJmbrGV13GXESmqp/fBdNsKqorHScnq+kclSnGfD9oMOFrTxMyJv21TzjIN1zXR7fRlXNxbQejZnBhqfv84pw3JFMSmD4Pa562chnMncpm7W8x0SpY7bX3QsHPrLVwIoyrVRlzWhQt4pTyz7zyRhPJPJJtGG3HmxjLH1cYcf74D7J/jRhCMOHNnjHh699ofzbw+kTXS6/HopcfUadE6uK5p8Wp1OZylf5XfDJV6mm5ZvRub8rSqf3XC0y5/8ATzVHr3k0lI/FNx2i0XVO0mGyLvGSyzcLDLz3Ezs7L0GeJRZVKpiSq3OlOvlUZ3CbUUr6KJQyUyKu4ysPpFKkFNTJrm4uJKKYkt7fVtjlhwkFgvkaV474QOcx+PRVpNKtsM7EE7uJjqMQlcicjjAqI4tEkFe3LyoZMQyhfBu1KWOMpbl5E3F0o0Yncbe4d3yiqTciqsA2l2hNLCXePXHfnR3j1RhCH+txl+j7whGEd4wjvDnQ2h1x6ow9m/qh9MOIi8q67msu1OHfVLSfE+XvaZTxy77qpnqrbbeZysJWdNZspJ1aaqvK5br1Wm1EVd48CI6brry4J5cMsJKNpoBJ7F6/xpIkU57o4anNZdM8s2pL0Mdn+RRu3c1vYGzmpU6JCGrBy/TEpSM3nxW29NT0LoiI7itcy1CG3q2+vTHLCRDuZfcn1QJlgitE22DTs5lIm86UW4OGTqM6gpHznxOZEgMDV/CRctSlk8tPfHX5LPTprxRTKZJu2qCGWSRXKmomZ5YWSxhJvNtDrm9nrh1er6Y8ftjEfZLCEZvn4+qHrhHf6P7/AKR6Kr7q1Wp1Nylt6yii21MKnbRqFK42z5lvjMW+vPNPR4NjT2FVPlatbXDbab1sNynj29CGIgxlzGLMctLNEOwzC9vcT2LezULSLiM4/ODGSGfKXSMJl8uirD04d/CBFLluXnc9q0y1FJQETOOJGirUk1E5whakJdlGmJY096WDQGTJYZN83VVy1q5ZGWKZ1blHmK4xsenEEyRKKNnDPzJPtaUY/wCQZ0onhRSEbClNOhWrtFWdVJabZFibkSFxMjaSar1tk/X1dX0fvsORFqLVpWsNOXPfhp/dHtngu5N29TdnbDWF1hJdV6fzAAAool919lJqZsYap7KRsWvYPNLSjbFDIOfNfT5dBtkC4Zy40pEt3JVyweI7lWLRKhRlKIbsiptKf2ylTStUlNqlgj7F2lkzilaRJOjXq7TNMvUDwU1AWCLjfBBUktBDs+UN+iD1jLZJytmssdqMySKfQ5vzduaUkhCTp9OkpdXTSVO2/nUzSKGsjVMl0GrlJTSKgjT2bCRjNnQ5ebDl+0JqScn7TyfaPJFKKAysXqwzuVJQI2EyRbxfK7z2qSwpK1mtk2hEUn6NxXlpqpnYKlt2qoI9PpZW46XLRvM1KT98sCucBoR0iNblndRJN+88+MpLi/qONufGTbPRiCvr2ohVWdL9JlajrK1RsYkVnXprs+I5LRIq42WDeXHn9z8f7oiUCWX8K6XpI90XL33AAAAAAAAAkD5FZ8lo/f1/HR/DnikK/BIHyKz5LR+/r+Oj+HPFIV+AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQLMj88f0n/qAOJ/QTUvFfokCzI/PH9J/6gDif0E1LxX6AAAAAAAl112tdyXBb3NhLhNSqPRqVPRIl0sl04kiSdxp8fazh1JKKNNTZGUbVQTLV+HE88E9Rg2UrUT7nUjkjc1eJiqjKqJRb7ANdrXclwW9zYS4TUqj0alT0SJdLJdOJIkncafH2s4dSSijTU2RlG1UEy1fhxPPBPUYNlK1E+51I5I3NXiYqoyqiUW+zQl0I5cFvdObWbNWo9GpU9EioVKoUatO53Gnx9rOHUnrLIqKVnWulBMtX4cTzwcU38eujWPudSOTxskGp6qMqrZaPs0JdCOXBb3Tm1mzVqPRqVPRIqFSqFGrTudxp8fazh1J6yyKilZ1rpQTLV+HE88HFN/Hro1j7nUjk8bJBqeqjKq2Wj7VFAAAAAAAAACQPkVnyWj9/X8dH8OeKQr8EgfIrPktH7+v46P4c8UgBX4AAAPp520sYQ4R6t/39u+3t/UJFM6c/M+W7VetosGiyiu29T+mspsJVQzDZe86w6qR6uJ3lSSLquQg3YNVgg6rhmyPU1eJ1OmbhKLBLK5NKo8PK3ppFJW6TSycrr3hHhttCG20ePV6/ZD7oR9gx9P8AGHG1WTO1QVOPLIqWm/0EzTfaChaJBHVF56aLhzkdK7cDQhqyuV6K0pfIpaVVSn8E3GHOs40YcBg0lepuOmfhVMZx9a0z56TTS1Oev362blpKuYnELs8cJ88zEZ6zBNlkfqFZ4Yh19TtmqT/27wHrSEunKbtC/ritI1REY47dNVT+9q5ipOEk25K27fq1Ct0dyRUzSyL6J/6M3XmRLvIrHWTVa5qVf6Mu9QnNzC1QagLAJ/I4zfuxatH4EnCGyqdNt2DL3BxmPcwXjos4qShcFTXtW1bFLSJCQFJs8LVSqZsKFS387S+l9VZJKltRpTMsf2JPDBzDM8Zlqjo0ehHWLcPEYGjfpYwvHTbosLjsmJkI5E9YnrzrlFkpOcmpLbJpT1bxN29mcHFGja0YXFelW8VROIWJ7ctotmQb3GLH9Bso4/uuq4LOo1lm2SrYLqY4LKBSbV1k3pORWyYUMD4mLS8iv/PpFUqXNqVS21xNUpQoUoaW5l5mXP7sJN0TpHiElDXjw7vxQ3Jju+i3bEoxEv7UqNZOG/8Ay/8AsuGkSNO3k0+eAGUuvk7jePRNkS9bctnpgtyUPC5SaaCxO0uZO7fXSGlUjiFCHkanH+c5bUoV8saNSukmzRtWemm6yzpUY+k9dSe+tSA9z/m0wdVxN5OJLIatj3UZ3Hk8YxysrrrAovfq4WRk8RCVu035qV6fy1UDQnqBp0y5HKJHH52lUqrJKh+pEjVkVdSCdjTprR+JGJ7bJtVJJvsX8fECkF0hpW0WiORDItgl06sG6lpqGrM3qtJSRN25MeIaMitV0noyeSVk1z1eoYRtpp1FdxqeJpbAjBxApJet4hsL8UEW3bvUSK1ddAJbHdn0+j3RskeZVjRHUV6kSZGUSFZ26UOTG4u0zTUdtcSJ65uql7a8yrHnQ1tJWrdNn1nEPE0uJanExPeXHJVF/Zqqr2Kt1OiSmONulofKw/oMpJctcYPE8unTc1o2pbxQNcsJ0SbXKlsyu+v/APo/suNRSF2W1U2cVYWEGrxBW7buCioS1banXi4KjrRS0u1NNT2khgoLPm/xMa5agd3F5zlC/wCurM8oxulkQnCjOsW8s9LgvsSGJIUwlsTFK5OL9WPCnqUfO1TZ304pKac8pWmpJajTMUzec/P2nLCnLLJTl5lOEvxYQ4bR48f59vVDcfkGBYWn1gZFJnaWZmV39relxiX31vJfWV7ZGcNjEvMLCfelUp1qcYyVZKsJpYyTxkmhzZppZ4uOVqklipP0f2aVPr90OevR5ae3so09D50bb3d4qTx1xMz68qCcTSCSVswOoxq1sKYs+isc1ReXGI7oWuO2L13VUeFzXow0ZiQjKTxulXVQ7K1pXYck7893LrFVywzZUas6OJK6XuVbby3N1beByZs5ZLrEHUkzgtsyJmpUbMubqDsqy2LF62DB10kjZ8bm4WlRu6UsisQ1Z4DnJC3u0ZI9Kn9I3RcdqKiVqKBO+9BQS8sigS1DTHY54+40EZ2k8d2KZ9hUqcGkihPE2yzYolqSE6UMxfRL5jg0JESRJ8mMDiYrsC+1qmtWnPXmpW1GhNPTt7enLDxc8xBxRPF447lnuMzAH7lPEjL1u3ZcY4Zdsr9eOo3xqXlJMdIJwlbWIIHiyRZ4SkRKSXKaUt1dpy5tyUqtbm2r0rWxklxv1Xr6VLSSWho0T2xHwqinS6uHLmEtzltObnc00tVu1cquXkqt2u87TS1KVKpVLpbxKqT8dzEf7LKlubcsyr1I1UskyjaOeawT8ry6JlHU3852OO2LN9fNW+yZgU0aqHbuBw0dUgqsaozZZEcymTzjzue5tOgnIW6VdpJ+k8ypoUMafL5qzJvB3EnIZwqZPIvXlx5apyVfEltZy8mgpFejiY7O4lZdPUrTlpVE1qzRoUozRlpyQll32llnj7coY5MBbmBXfWjFtBa3xS0s2P5OY27Zoenfk7E+TpyxZctnpkssxY08vuEtqSNzQ/8AdCM1ClJMnKUacsZfOkShkm26UT6Fb9KJtvUSlS0vI0qjEQRFSWR6aJC2jNSLiggTBHStiYlJreEktK2KSahSo0bbydKSWlTjzKfpouWqablDhtJUztzK1OqqecTNi/prPH8OpzEY103aq7FS2xuyuPhem0jlpf8Af6e9y3i9Cjg9hAACTYAAAAAAAJ1NXTQIZ3UMU8+W7IrdQYqajSDIy+6a990MZVUsllw4jeGyeNmgNXxinE7OuLc8SsqV9F0e9Lb1iRzkXampFd3HvrplsW1bW29CaYeuo812/iN00NYZjFBiDnT6PlKfb51llZ0Us2OXq4LFUrkP/wBTl0pKSoNHKBxayUltmuUzbKVWsC/zmEa/otCo0dUPWualU1TDVXqp6V+OurJjzcsq9FrFLrpNyGKjYB+CQq85rxk1yeUqdCpfFNWee2kVyGU05UVUHWbK4PbdPq1OlZJXo1kmtEw27no4DaoAidZjVKy20CsgL/AzWnU7wZOY3Lg8vVBh1qLF5abOKrDtHGyuJ4Kyk7c6gUR+uFSRNpSVUVMtUvIo3Kfxh68kEck00+zMuQwShTVlCQViWX6WTC4QyhIleh1cQlSnSCvSp2XKBLK9OnlhTOiRSJU8JK9wSn5IoyQwtzwhUCfr1La+talK4kuY0pvJgDzoAAASB8is+S0fv6/jo/hzxSFfgkD5FZ8lo/f1/HR/DnikK/AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABIFmR+eP6T/ANQBxP6Cal4r9EgWZH54/pP/AFAHE/oJqXiv0AAAS667Wu5Lgt7mwlwmpVHo1KnokS6WS6cSRJO40+PtZw6klFGmpsjKNqoJlq/DieeCeowbKVqJ9zqRyRuavExVRlVEot9gGu1ruS4Le5sJcJqVR6NSp6JEulkunEkSTuNPj7WcOpJRRpqbIyjaqCZavw4nngnqMGylaifc6kckbmrxMVUZVRKLfZoS6EcuC3unNrNmrUejUqeiRUKlUKNWnc7jT4+1nDqT1lkVFKzrXSgmWr8OJ54OKb+PXRrH3OpHJ42SDU9VGVVstH2aEuhHLgt7pzazZq1Ho1KnokVCpVCjVp3O40+PtZw6k9ZZFRSs610oJlq/DieeDim/j10ax9zqRyeNkg1PVRlVbLR9qigAAAAAAAAAAAAEgfIrPktH7+v46P4c8UhX4JA+RWfJaP39fx0fw54pACvwAAAAAAAAAAAAAAcbQ9kOHUOQAAcbQ9kPugOQAAAAAj9fr2QAAAAAAAAAAAAAAAxqySxVx2zGas2ZPJxnG/e1tDeoYXkqZcEiomspQZmicPkpOqkgbzwmUKIXBCRq87tku4rdnqZWaSnM60yTVCeqRjVEetyUak/JbFUTKKVVKHOHQorvCpSq+Qttald+/OLSddg2SBiVKo3rTJ9MUEWoYrac2JEnQIVRLi67ixqqWVZJbGl48k0lekFz48FV6TSy/SynQ65TxEr0OriE1TCvSCqJC5QJZXp08sKhKdptVEZ3QuCU/JFGSGFwRnyfUFCpbX1rUq289tGlN5QAegsSs0MZ87WcL8gMSXeIHnau9UJ+kq6iJbNREpmSKZN3VOkcJtWJNZlCXXCKUMlCsUH1MgUyZT9xdJI8IFfaU66QVCaUd7luIwMjtKDNzRhfA2zq5Pqlor5oVeg79OZN6dy5OFW5aev7JFJI/NSRwEgTnq9IXGeSpbXVExPkqlk64s2QCTdA+rpRo7hyWge1WtUjt5mlrq/YlarrQppYNEsU+in0oEt5fu5isoVmTXrxNbfpyonyxUmUhPVpEh4uWhmPFclqaXeZOJq3SqnkPCROKaVIryRUNolANO3IrPktH7+v46P4c8UhX4JA+RWfJaP39fx0fw54pCvwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAASBZkfnj+k/wDUAcT+gmpeK/RIFmR+eP6T/wBQBxP6Cal49567Wu5Lgt7mwlwmpVHo1KnokS6WS6cSRJO40+PtZw6klFGmpsjKNqoJlq/DieeCeowbKVqJ9zqRyRuavExVRlVEot9gGu1ruS4Le5sJcJqVR6NSp6JEulkunEkSTuNPj7WcOpJRRpqbIyjaqCZavw4nngnqMGylaifc6kckbmrxMVUZVRKLfZoS6EcuC3unNrNmrUejUqeiRUKlUKNWnc7jT4+1nDqT1lkVFKzrXSgmWr8OJ54OKb+PXRrH3OpHJ42SDU9VGVVstH2aEuhHLgt7pzazZq1Ho1KnokVCpVCjVp3O40+PtZw6k9ZZFRSs610oJlq/DieeDim/j10ax9zqRyeNkg1PVRlVbLR9qigAAAAAAAAAAAAAAAASB8is+S0fv6/jo/hzxSFfgkD5FZ8lo/f1/HR/DnikAK/AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABLDqmaBBirnlUWqFpQrhQ4x6myWPbB1i1Mp0zSpCz76LQooH06/nqlZ6R+Zka671E5rKSq48UajiwbuVKR0lHtRUJXvdR3JKngAHXD6MdLlMmDuLa5arEDSyQZo2pw/CjcM8uM0yAzYxz4Lo4QLZpw3mJkq5uS2M6jNkJVIEslaluoJUaoyGdTRUVpRV9SJBXIk1t66Y3LIuyewB7xEH4lgr+AASA9MblkXZPYA94iD8SwOmNyyLsnsAe8RB+JYK/gAEgPTG5ZF2T2APeIg/EsDpjcsi7J7AHvEQfiWCv4ABID0xuWRdk9gD3iIPxLA6Y3LIuyewB7xEH4lgr+AASA9MblkXZPYA94iD8SwOmNyyLsnsAe8RB+JYK/gAEgPTG5ZF2T2APeIg/EsDpjcsi7J7AHvEQfiWCv4ABID0xuWRdk9gD3iIPxLA6Y3LIuyewB7xEH4lgr+AASA9MblkXZPYA94iD8SwOmNyyLsnsAe8RB+JYK/gAEgPTG5ZF2T2APeIg/EsDpjcsi7J7AHvEQfiWCv4ABID0xuWRdk9gD3iIPxLA6Y3LIuyewB7xEH4lgr+AASA9MblkXZPYA94iD8SwOmNyyLsnsAe8RB+JYK/gAEgPTG5ZF2T2APeIg/EsDpjcsi7J7AHvEQfiWCv4ABID0xuWRdk9gD3iIPxLA6Y3LIuyewB7xEH4lgr+AASA9MblkXZPYA94iD8SwOmNyyLsnsAe8RB+JYK/gAEgPTG5ZF2T2APeIg/EsDpjcsi7J7AHvEQfiWCv4ABID0xuWRdk9gD3iIPxLA6Y3LIuyewB7xEH4lgr+AASA9MblkXZPYA94iD8SwOmNyyLsnsAe8RB+JYK/gAEgPTG5ZF2T2APeIg/EsDpjcsi7J7AHvEQfiWCv4ABID0xuWRdk9gD3iIPxLA6Y3LIuyewB7xEH4lgr+AAdbRmyn+U5081GV1WHH05yFI5AM+0igxdaWXFJMlOSBYmpV+iMiC2m4Jw0TaPpkw4Hn5L+/WtDyxVCqt/ej9KCdAJpZphRyKCZNK2g3Ql0I5cFvdObWbNWo9GpU9EioVKoUatO53Gnx9rOHUnrLIqKVnWulBMtX4cTzwcU38eujWPudSOTxskGp6qMqrZaPtUUAAAAAAAAAAAAAAAAAAAAAkD5FZ8lo/f1/HR/DnikK/BIHyKz5LR+/r+Oj+HPFIAV+AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPRWQRO8ihYh7E7jspSFCP8etG5RSxq4VlGF4kUa8BykjotbVUKilEhVMtcmTq3mJTxS0vRZT0pbSnW56ZUsYe5asu3Q55ZF2sOAPd2g/DTAFfwCQHoc8si7WHAHu7Qfhph0OeWRdrDgD3doPw0wBX8AkB6HPLIu1hwB7u0H4aYdDnlkXaw4A93aD8NMAV/AJAehzyyLtYcAe7tB+GmHQ55ZF2sOAPd2g/DTAFfwCQHoc8si7WHAHu7Qfhph0OeWRdrDgD3doPw0wBX8AkB6HPLIu1hwB7u0H4aYdDnlkXaw4A93aD8NMAV/AJAehzyyLtYcAe7tB+GmHQ55ZF2sOAPd2g/DTAFfwCQHoc8si7WHAHu7Qnhph0OeWRdrDgD3doTw0wH9J+7v7epX8AkB6HPLIu1hwB7u0H4aYdDnlkXaw4A93aD8NMAV/AJAehzyyLtYcAe7tB+GmHQ55ZF2sOAPd2g/DTAFfwCQHoc8si7WHAHu7Qfhph0OeWRdrDgD3doPw0wBX8AkB6HPLIu1hwB7u0H4aYdDnlkXaw4A93aD8NMAV/AJAehzyyLtYcAe7tB+GmHQ55ZF2sOAPd2g/DTAFfwCQHoc8si7WHAHu7Qfhph0OeWRdrDgD3doPw0wBX8AkB6HPLIu1hwB7u0H4aYdDnlkXaw4A93aD8NMAV/AJAehzyyLtYcAe7tB+GmHQ55ZF2sOAPd2g/DTAFfwCQHoc8si7WHAHu7Qfhph0OeWRdrDgD3doPw0wBX8AkB6HPLIu1hwB7u0H4aYdDnlkXaw4A93aD8NMAV/AJAehzyyLtYcAe7tB+GmHQ55ZF2sOAPd2g/DTAFfwCQHoc8si7WHAHu7Qfhph0OeWRdrDgD3doPw0wBX8AkB6HPLIu1hwB7u0H4aYdDnlkXaw4A93aD8NMAV/AJAehzyyLtYcAe7tB+GmHQ55ZF2sOAPd2g/DTAFfwCQHoc8si7WHAHu7Qfhph0OeWRdrDgD3doPw0wBX8AkB6HPLIu1hwB7u0H4aYdDnlkXaw4A93aD8NMAV/AJAehzyyLtYcAe7tB+GmHQ55ZF2sOAPd2g/DTAFfwCQHoc8si7WHAHu7Qfhph0OeWRdrDgD3doPw0wBX8AkB6HPLIu1hwB7u0H4aY2L6YzC69DUv4r1BqkZr40ZIMBetGdkyOQ7MJZNEStKXkqq9EGhKqjOoUYnMZNOnaCILHFIp4Tq66hPVOyGedJRrU4XKcA3zgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA4jDeG3UEIbQ2CEd4bjEN2Mt24Z7JbFbFVTka5vXFy+pPrdtecEhcU3yPK4sKliZdrP0wNjNR256Txrkp1JImpCBMqaWtU8tJcTJ63lpzVIUNq0pn9PkGXoDGxzMq8ZGaXaNal28jWFat0nGjYSN63jjO836GXy7mOzioRFEUSkFAo0+fq+c9PpYklCUgoXEs6ghC2oy1anCX8xaZjYmtssLRt3Lymxyb1wq6uIUXSQC5elsEesbpZnRaWGpGlKCSPVLIfef1ATGxIo00Qy0p1FfWxuS1KVGNC8pQmv+k/d39vXg7D7P8AUf1XzXcylhGEeocjEZ3M4sM2DWdq3D75c4xse4V8XlxzYIR3X6a1tlndFJwYVS8kNLRJrNSEJ3cFRzWLr6SStTo1Kc09CrRpxqVJY+S1lufr54il+PeaTwsHep98lrhc8hG06oZ2q8zXJQ/cUsNXTZhrzF520MEacuecm7G+dHek9F3AqpSEioVpCeI2aknp5pLmSbSqu3abNqnlKKow52pJTz9qnPr7TxZ4z7Z/XD+RvqhLHmxhHhvH6fYEYR+Lx32jx+/+oejWjyIYPICwUJgxb3tG89kjTz0VWl00rkJFx5EerpZJo1EyrqqNP1BTIT2jLNNGoQnc9K5khCWaMsZYSj8K4yzxes3roY0XOSGP9vkjcVac9rj5VehAyvddeUS0VnT5jTxOfT6aadMy1FNCWCcnlmTHOU8Jo28I1ZOupJNPpLjE4cP15he8LknamvEzGFnHKT4fo57xngyHjTjvt1fE5vX6994Rh6v548NoBCnHnRmh/qc3aHHbqh9vV6+P2DVLiTqfN9mVl7lZju0M7HGyExdMZ03WWxXkmWKt3nHUtEsRFweKdIMQRt9clVNk0+eq41QNZ24PdVqTLAkppeCJp1L2ecgx0c/XxxNLMes0XkYS4IHtXWGTxEbTqdlq7yNck1A4pYaOoy7YGTzNrfo85dA4OWNiaO/J6MOBXScsFQrCE6SE9FP1Kkl1Jy3Vcu1aWm1TD1kVUzKcPa1zxMpJ4WYnIpWJhw7i0TxjdiFM9Y/lMM34AMcW/wApMcHXS68XDa5Aso4aMaq8MrF1lShXXQStTrYXxQWTHJ5Zr8+IVDcESMrJ0jlqHikoqa5t42lvCtVqycyhJKP1WPyMx9yWT5yrMdn3Zx/EqTmno6eKJlnORDrEJEoZS6gYzFBodIg9UBKXnPmkxLrqcqnqSVJaVelWjLUoV5JhTxz0KdLpw08QuvpHzle8rue95err3h9G2w5jHh17dXHbcYkXGcOGJerqDfGGYGL1mvq92sSyki679tTbLC5MmymN6rj2HozFYwPfKt7AkOpFhbe5pp0r5mPJVLLbQs600P2rXL3FEyZWvknYZOY/3mOpPdRoGD+Wj0N/dsqWXcp1TSE1E0dSmpZ0JT5qhMLVPRlrKGXmqKtRsZpY3k8ZJZVKjxUn0X3OEn7fFTEcyvQlt+M7MZSc9O84iOlUrlQ10aMmppY8NuP+EIf1BLLGEYR/f1/3ff8AMMZY5hYle8h0l+lFjx0cvdvm33+/fsbP3lfd/niCS80e+n6S+gka8FJ/1B5GCi58VDH3FzPL/wCQGI2JuqIzWSibzTcVWGTYswxuIOSihYj39FC+yXvmoclJE6bRB2TPPOvjElSyWSCdVUixLIJylBUqenWqyU4yKqtGtLTp5pU7qqkn8MNrtPhxhcS9RRHeVzKLykpwnPbpz6/u/g+xtTml3jDb5/s4Q/sCWXqm39vD74DWTkhqSNO1TW4sPEydy3OVLdZPZkMTiITrJq3jTxgjif33FcapE3XxQrkcSOMQLSZvDco2ukzJMm6VWvNXt7hXp6anU8ps1hHmx234c6G8fV8/7/N83DrppVFN9rlwofNSVNTUc4V6l9nKfQdPm/xSn5qPufqfaAx5yHf9ssWWiVb4PEZHRWhUr6PWJjBPJpTrJUHCgVxwVI5GJRJJBGkqiUZ4olUtDohTKYJE/Rqz3ChOacvPhvGqMX2R1G0Tkth+z2YrBY8ZOuoRPtcn1ug2eJEy2BM79OolVYdJw4irjNXuumGAb22kppQ6PZLpwn3TNNTU/MyZSdRTLFRp1LXWvf0ifSeJ9+hzt68evt3NkwDDzDvMtqc3WLsH4aezV5AQwU60Q6uSbnEZall23LgNqcmBCs0Mri0sOVEQSnadOLGeFSon1Qok/PSkqT0FJcRhGWH1kGeWDasS9dcJbM7FNToaiqYomork7kYzh2lqSxqJw0WtRJzHhWtq5HMf+hJOcqiCajPSUHomSHKk8jNbW9a6lTmOuMdfi+zj16d+g/1/Dn5dexmOAxBSOceFzgHLfkTeZf4srk9eGse2jTE6Tf1qlOaulWT9SsXnMG7JipcV6y2opyoVmkFLTS9O6qW1QpuJZqVOpJEZfB0np36cJ/k0/ZoT+vvj8017oAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA+uEsebt6999v7f39g0xZ/NXkTd59aYOVbN44OHkghcXbfMy1eAibBZsOlFYWQeVskWiUTVKi1/XvY9OnPPPCs0ubiFNR1Y2tIqhUnljzqUKu6EBnsi74ifNLpa/XPCBJg9uAmWboZIagqucxpdQA0x71HkPjtWOEPisttJKdXpNNItraiMPWGfe2y+Pz8yRq3bVSUjJRI5V4pPSrkTc0Vj6TWispLAoqXEP3cqNMXJtySvXnoI9kKLgGGXzRYKovE8+VyvZydUOoYMS1CMJlpWMzk+PrSKMN06uyGkey3biQS8ldUktFWIyMYzU6slVnDhGMvX1bb8IdUfv+n9Q4lllhLDmy/wAXf2bcd9/n69+r2eqPEXvrVp0JUJvQLQyp4+HPPWEqujp+80pv3aL/AIvSNrUZj6r/APn9MdpZDwvlpEjy1yzdV8aC0mweZjVhwVUTwOc2bOs64RgnMl2IZrHZtUgljt3HOyqbZ4SQjTTqnZRF2iBlcN36rSJWmoaKMdrmKlVTSZcZIaf+ayoxf1qMTEzjOfOFXy8ziTuWrGOZbL/HSya9xkgcuBiYbHremZStXaTzgJ9cpcobZZxuvSlt04k1BEgjTSiwmnqpWqpqJzrDXEdSvTaZHn+LWOKlf+xME+cWj7nrFtiavFYnKPL7cmIjak6hoRTLuU2ISQpLSJPXEh9C5TlAstKck8lG1oUqeVEsOMZoezjt1xjHhL6/V+8B21d8vb0mxPdRSqZ3Ln/sypYS7/2e5dTjwH4UJy3jDout23CqSbUT/jz/APIULHT0NRmN2K7rtXqhZ/vvWbiyRbDvkxuE6XbtSE5sl6dirlczSYcwiVxfBJkJ1VPSn0XKTtPkVM4VKbtIXNLeVKXHueFxSjqyvtODMK/RjgYZTY73kZFrrGTZ7R1BIuIxNi3lo1k7lEjw+mchQVuBDJ+GTHmMomx/gn/eLlSdO5nhNB26KGkgphV/NwnhDj8bhv7Nob/1+uMPUEvxZuMI7T8YfNzIdf3dUNto+sed0qq9ZuuKltrWE5VT1On1OeGvprPHGex3c66L9HV1UNv/AMGlWmUKc/QT05c++qTAjHl5WYyN1RHBc1I1k2lsh8viF0WfPqh2lzqosW9LGGbdFzHFMtJTpQG5HCRREZuTQJlPaJ5Qwo0Y3FK1moVaM02onInAHNVT4r60OJaZxoUDg3GXWbiay1Yxy7ZwcdbJr3FSJw4GJJueN4aFK2dlPuCnlwliltVpG7iqG5TqUP5iCaVLrGaaqlaqmrShCWMNtv420Ix24Q26tvp+nh9HNHEklOMNpZdviw6/mjHbfhx6/wCz2x0tV1U6i1cbpb02g0WgpiUn5SnSpNy/tOnS2JfVurudVTi3CU063zj9dqvJJ8Y+neO6XqSsZ7aWuWj8LbV0psc3pCk0hkuxmnJaNRStVa2aQL34P8V1QanbitXUmqRUtBDncyGKCZvEafuM2UGxjVrEdKtNFHU1TGlsewDx0WiXfTIPJJ1yDUCS7rumgGbbRSmmYp9poykKzIGwuVxcI+RJpjTjmkTtU9S0yrOU/dKRyyO1P6qbPCQuSt3WoUbmiT7h+dzudCMOqNOHVDqm48fo223+wITc3m8OvykOrh8WEYw+/fbq9Q0po201961Uqs4ipdOOJiPYm7ceoaq4SqtVTlP6o9JCWcT5en3luCSG20rcpDRtlGRKLHFPGh2ccpGLs7Li2MFOzl7IcYh110UxNnXNqkVxzJqNVBzHMk7f8+LoR501v6I+Uq8ybyhU6cGXpG5jpvGTMDFZpREa6hfqFJHH8rXDK25m/jOGzPp1ujpxkZ6ZLZPoUnddMLcyN3CS5A76xairGQlUNT3XMqK6Wp3FXEdoTbQhtGMsI/ZCG/8Ab6urq9QbQmmhHbeMsI8OO2028Jo+uPVv7f5hjZmxTbotzts+WpbcuVp/2b6Rn9n2czKdV6HLNKqnU79y5Dr1L1bnolq3rqsJuVt/aF7b1xT2JPTrTyzVrrypmfa46nXlzTWKR2d17gTbuaxMHIotAkWelYmCvqG1RwqmMtTIyseVKryypyhkDTScyY5ks679O4ypRPenTTS/z4MUa7i8I2WUTP31fXETeoyQsa1LmYs3jpKJjTpCkhVE0bk2c6KnxgnfVsludTKSu3z3xptYo1IilBVSiwUdKCTVirsgl4VIwjGMIS8yG8N9/jSbb+v17cfYE8YxqQ5u+0ed17/5skIb/fvvEejdWndVFVH0tOlpqe1NeHp6v7PqjLjc6dBa3PmXVEGbrlW/ET+jWxR18fx1nvHnr3MxC7JEv6r08nwUjdteom7a/MK8cpV6zeJGamRpdmStNP0vWNNItJSRpe4zypcsw1P6TBUiWVPEpNLXThBH311OpSU5rxSt1TrW1a8225u4R9Lg1bgw9CdPdWRQxWpbSafODT8jmxeWkT2sQ1YSt2YdJJiYNtY1YFE0ynoQoKj0nnkIpvLWnmCElzsYjJJvtt1Q+yPxfp/tHy2ljHbjCMYerq22+/q6/nGdTlbOd1ze21nd5bS6VpOeKbGmpjGHxkmm1FzxM4o2L7tTe1Etcf8AGannCnkwcSyFVmK2INm3qTZBFumo0YUmxYWtHg+zLY4rt+bxVSwOKksrctG9eRdNvUUUlFI6ifrGioX1qUVFc01Co7GE9woKSWho3xaRerHiTo1s9huzGDLqJLK9PKYza1VONXdfCNUl7Vt44jiOetFi/bSFFfK6innRWjekBkTEiQbpw1Q19rdOUd0atzVqohMVKSgqpjHjGG0d4Ql4/Z+/2hCbjDh1wn339fD1wj6vphx4DGl01+ZprWNZVbbphprylUUw8bZmeJa6ouinY9M7cfVHPxKVVKpblPnj159JNGiawhUJxo+vvglj00zvYmK9Vs47zUpa5ytWzNqpyV6sXFJqxorXfctwMYXYfZMXcHiUqrPIK45if01NRqznUlND0UxQTNvcYpvBiblTkq3elMXS6fFRjb/EXMDBE3eqxVbkYuHR7I1GOiFdEpVZoSwRLrKomPWNbI7WVGm1xDMrKjoqiosHBqSM4iqc3pKqaePi7x3hH/Nj1de0Po29YbS/P1zbQ4dcdox9vXHb1DX4FfeoX7y0riXCq09S8BrrEvNLcNcxJFNFVNG1xirWNOH/ABbTanH2UsKIXzRJ2faYOTdMlyDqp7HkgslSsOUPthnWhzKxUrOWBldYuJQ5bE0MHV86enEIk1Ihmpud5FDVI0nRmnOD6Sgj60FVvGsDm8ZfZDeP9X77+wfZNJT3jvDjDf8AXCG+32e31/NsPs6tuG/GPH2b8QobWm8s4jc6k5bbqq02k09Uucr6qoUSm2/3jlVFVd1XW0opppSSxjU39RPv9PGekdML5AACkoSXMJL5GoAAHQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADaHs6ur5gAAAAAAAAAAAAABxtD2Q+6A5AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAf/2Q==)
Height (h1) of each conical part = 2 cm
Height (h2) of cylindrical part = 12 - 2 × Height of conical part
= 12 - 2 ×2
= 8 cm
Radius = Diameter/ 2
Radius (r) of cylindrical part =
cm
Radius of conical part =
cm
Volume of air present in the model = Volume of cylinder + 2 × Volume of cones
volume of cylinder = Î r2h
![](data:image/png;base64,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)
Volume of air present in the model = πr2h2 + 2 x
r2h1
Volume of air present in the model = π (
)2 (8) 2 x
(
)2 (2)
= 18Ï€ + 3Ï€
= 21Ï€
= 21 × 22/7
= 3 × 22
= 66cm3
Hence, volume of air contained in the model that Rachel made = 66cm3
Question 3.A gulabjamun contains sugar syrup up to about30% of its volume. Find approximately how much syrup would be found in 45 gulabjamun each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm (see Fig. 13.15)
![](data:image/png;base64,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)
Answer:
![](data:image/png;base64,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)
Radius (r) of cylindrical part =
= 1.4 cm
Radius (R) of hemispherical part =
= 1.4 cm
Length of each hemispherical part = 1.4 cm
The radius of hemispherical part = 1.4 cm
Length (h) of cylindrical part = 5 - 2 × Length of hemispherical part
= 5 -( 2 × 1.4 )
= 5 - 2.8
= 2.2 cm
The volume of one gulabjamun = Vol. of cylindrical part + 2 × Vol. of hemispherical part
= (Ï€r2h )+ (2 ×
Ï€R3)
= (Ï€r2h) + (
R3)
= [Ï€ × (1.4)2 × 2.2] +[
(1.4)3]
= ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAjEAAABCCAYAAACmRoeyAAATH0lEQVR4Xu2dB/A1NRXFf9hQUQF7G0VEVARFEHsDQVTKCAgiYmdEdOxjbzOKSFFARBAVVMSCBRQFsRdQECsK4tgLVuwFe5nDlzc83vfebnY32d28dzLDMPDPZnNPkvPuJjfnroOLETACRsAIGAEjYAQKRGCdAvvsLhsBI2AEjIARMAJGgC5OjJ69AfBr42gEjEAjBNYH/gn8rdFTZVQ2L5QxTu6lEUiFwKB81taJuSbweuDfwJOA/6RCw+0YgRVAYC/gBYD+/d0lste8sESDaVOMQCQCg/JZGydGXtfJgXyfBfwr0lBXMwJG4HIEdgMOA/YAzl8CYMwLSzCINsEItERgMD5r6sSIqE4BfggcYAem5XD7MSOwBoG9gYOAXYELCgbFvFDw4LnrRiARAoPwWRMn5qrA24ENAXldlyYy3M0YgVVG4JnA04DtwsdBaViYF0obMffXCORDoHc+i3ViVO9AYB/gHsAv82Hglo3ASiEgJ+BE4FbAA4C/FmS9eaGgwXJXjUAPCPTOZ7FOzE7Au4CHAR/rAQi/wgisEgI3Bs4BPgjoS+Z/hRhvXihkoNxNI9AjAr3yWYwTow6dG5yX/Qsi2B7HzK8yAp0R2B14Z4iPKeFDwbzQecjdgBFYWgR647M6J0Z/Pw7YBdga+PnSQm7DjMCwCFw5BM3fJhzZ/nHY7lS+PTcvSH/qkhHb764ZASNQjUBvfFbnxGwDfA54GXBoy1G7UoiluR+gr7frAt8DjgC+PtVmbL2W3fBjRmD0CGwJnA0cHGLQxtrhFLywyDZ9LL0a2CHoUI0Fg1h+iq03FrvcDyOQC4Fe+KzKidFiPA3YHNgK+F0LS9XGC4MOxofDUdTVgFcBTwaeEXZ6Yuu16IIfMQLFIKD1+DbgwcCdgYtH2PMUvLDILInl6Sht3bAbJTHNMZRYfoqtNwab3AcjkBuBXvisyonRLSTtwrwceEVLa3Xb4pbACTPPy5H5bHCQ7h52aGLqXdiyH37MCJSCgHY5zgIODx8AY+t3Cl5YZNMTwq7vr0bmxJjHxjYL3Z9SEMjOZ1VOjG4jPQTQlpDE7dqUNwMbBYn1L8008OywbSzVUh0xxdR7bptO+BkjUBAC+pr/BHA74E4jjA1JwQvzhuOOwMZBM+faI3NizGMFLSB3dVQIZOezRU6MNCsUr6Kt3T07QPIhYGfgjYBuNk2XhwKnhmBG7czE1JNEu4sRWHYE9g3CkvsBx4/I2FS8MGvS1YPz8hrg48DYnBjz2IgmobtSHAJZ+WyRE6Mdj0NCXhelGWhbFKQnIj4KuGimkccAbw1CX/p7TD0942IElh2BGwHfDrFkOsoYS4LVVLwwO36PCkdoPwI+NUInxjy27CvO9uVEICufzXNirhIIRVu7mwG/zWTde4N4nu6Ta0dmUYmtl6mbbtYIDIKAAuG3DwG+sx8AQ3QoFy9sGuQbdEylMkYnpgrvWH6KrTfE2PqdRiA3Atn4bJ4Tc3vga+FcXkc8OYqISzEyChyWE7MoE3ZsvRx9dJtGYEgEnhhu7imv0uuG7Eh4dw5e0DHy04EjpzigJCcmlp9i641gmN0FI5AFgWx8Ns+JUXbqY4CnAkdnMEciOFIm1cJ+EKCbCPNKbL0MXXSTRmBwBO4Q4tL0o651MnQqghy88AjgK8B3ptAuxYmJ5afYeoNPOHfACGREIBufzXNipA0jhd67AedlMEq5YXQGrptPVYkkY+tl6KKbNAKDI7Ae8FXgOoAIoI1OU0ojUvPCrcMNpJNmOlmKExPLT7H1Uo6V2zICY0MgG5/NOjGTF10L2CIDce4aAngfW9N2bL2xDVSq/qyK7Pqq2Nl2XighpNbCPUOCyLbtdH0uNS8ovkYSC1Lt/meBTkwsP8XW6zo+Y31+Vda37YybgVn4bNaJUd6Wb4V4lXsD/43rW1Qttfdw4HnApVNPSCNm+isztl7USxNXknaHJNF1ZewPidueNDcG2fVltjOXLHyOdl8chCafEo54M0252mZT84KcsgOBH8958wMBxcqcEfhH6U7GENg86WosP8XWqwU/Q4VlXt/TcNnOdJMnxe9SFj6bdWIkdy7yUMzKI9PZf9mujs6/lYNpOohXZCWC1heZSmy9hF2rberRIX7nhiGfizQtlIohx62tIWXXV8HOXLLwudqVLtL7ggxBW3kBzVetr+cAf6md7fMr5OKF2bdph+ac8D+lDDyWtAOTfsbyU2y9lsPR6rFVWN8Cxna2mh6VD6X6XUrBZ2t1dNaJ0fmt5M7lMb0yERZS4t0tBAnP3kLaBLg/MFHEjKmXqFvRzUixWLsuPwF0TVJfkbmcmCFl11fBzlj5+KbpLXK1K8luxaV9Hrhvy53R6wGfBNTHto53Dl6YtwDH7MSYx6IpE/NYPFZta5bI1yn4rNaJUfI5ebL7ABPdhrYg6zmdFZ4e/j1PsGuDoAh8QWS9T0d0ZiLV/vOIuvqCVnZtXfWOERR7f0Ynpqnsuu1ce4DrxjNWPr5peotc7d4U+C7ws5D+Y/oYNmJ6X1YlhROTmhcW9f0a4baSPnZEeLPxMlU251wP5rHY2QbmsflY5ZyfY/pdqpopKfis1ok5E9gxHJsof0vXopsHVcdS2i7WVWslmIypF5PD6VmAtt61BV7lyOgHT8dbOwVH5q8RxuaaLG1k123nFQcsZjxj5eObprfI1a5uJn0TWB+4bYUcQdXUTeHEpOaF2f7eAngpoI8afWGqfDkcfykBrXZB60rO9WAeq0N/zd/NY4txyjk/x/S7VDVTUvBZpRMjPYOzAWWVltf4jbh5O7pakx8z5WZa5MjE1JlnWK7J0kZ2PcaGmDqrZGesfHzT+JNc7a4bdiZ0xVrOvnZlmpauTkwpvBAz12PqNMU3V/2YvsbUWaX1PWur+brb7Gzzu1T1xhR8VunEyIuWLoWUOXUb4Xvd7B/06arF3Xbhy6Aci6KL7LrthC7jOT1Jc8nCd2l3EiNyF0D/SBiuaenqxJTEC7nWQ1PMU9XPZY95rP0Ima/bB9yn4LNKJ0YRyNp9kQiVtnd/2n6cR/HkPALo+oOXevGnkF23nVC16xYzGXPJwqdoV+Jv207FbsXYM12nqxNTGi/kWA9NMU9ZP4c95rF2I2S+hq63BrvyWaUTI7JTgO2GwZFRMGHT0rc0+qIs3JN+TwhAolOKfdmfbj94qRd/Ktl121kd/1Q1j3PJwqdqt+ui7+rEjJEXcq9781gz5jePNftxXxW+njeLuvJZlBOjSrmuEDdbGmlqTybMk4GLQ5xMVbqDqremdGJSy67bznbzJZcsfKp2J4te+ZM+OsfEG4ckihr/eUXHQRKZPBn4+4I6+tFWksl5Hy4TJ6Y0Xki5HtrNrLRPpbTHPNZ8bMzXcO2QKqSLflMdnzUemekvmglZ6f8pkLCtpkTjTmR+QPa8BFB0uG43Kdh3aCcmh+y67Ww+kXLJwqdst+7LRSKMStaqre62ToyuMh+74DZfqbyQcj00n1npn0hpTyonxjwGbXN9rcp4zq6EOj5rvHKmnRjlR1FMzMZLEhMjMCYTZc+Q1FK7MTt0cGRSLf7Usuu2s7ljmksWPnW7XRd91+OkEnkh9XpoTKyJH0htj3ms2QCZryFVOpCufFZ5nCShqfPDzaRbRmozNJsK/daeXvjKmK1AZW3JHtzBkUm1+Bch0Uax1HY2d0xzycKnblfz4QtB+O2uIadZ01XU1YkpjRdyrIemmKesn8Me81iaETJfN8MxBZ9VOjHT15+kuiiRrVLLvIU/saWLIxO7+CVOprQNEulSwsjYRJpNF4XtbO6YxsrHT8/9mPFs027d+tIRkUTf5BxJ+uDbdQ/M+XtXJ6YkXsi1HlrAnuSRXPaYx644PDHre96Amq+bTfMUfFbpxOiPyrGyXcjTclaz/jWqfX3gN42eiK+shf+ikDpB6sPzrorLkTks2NokRkbKrNpa3KxGPVWpGyTVrtLkx6eJ7LrtvHxOxI5nrHz8bHqLuvFs227drFYgnT4m5IhIu6lNLFdXJ6ZPXqjDo+rvOdfDoveax+YjYx5bG5ec83NMv0tVazQFn9U6Me8IP/6KIVH23BxFqn0fD8J6v694wZdCRu2mfVBWbP0j5+THFQ9PfvjuFZLjLUo78LTwA6Ifg60Aed8/AL4F6FaH5NL/PPMeRbLrJom+nHUzpC6lQRvZddt5RdBjxjNWPn42vUXdeLZtt25u6+aRVHovYU1OmjZZqFM4Mbl4QWOm9aGUClpXkiVXoLJyUTVNe5J6PdSNjXlsbYTMY7AoTUbq+TnW36WqdZOCz2qdGO1gHAjoeuiRdau45d9vAnwHuFbF87oKqjiWmISPs83I0dAXa2wCSAX6ageqy7WxllB0esx2rg2ffhRLHc95k0HHSAq2V1zMfRocS063lcKJycEL+jJ9BqAdXx2ZTYoy2b8n5DU7qMEK6Xs9mMcaDE5F1b7HLU2vm7eyKnZWIZOCz2qdGCW+0w7MCXBZOvUcRQGKuhL6sbCTMfsOXe8WwT0/x8vdphEoCAFpw3wkZJRXZvk2JYUTk4MXtPsiB+bdQf5g8hEhXRulV9BXvUjvR22M7uEZ81gPIPsVS4VACj6rdWImntJnQrxIDuXKvYHzwpHMbIckcf4q4AXApUs1fDbGCDRHQNpGrwGeDRze/PHLnpBToBt5L+ywpnLwghLNnhNi1nRU9odg33Qgsa6rf76l3bkfM4/lRtjtLxsCKfis1omZpMqW8yJi+VMGFHXf/LPAP2bangQ+nQpcmOG9btIIlIaAdikUM7J9OPIcqv85eEHOirLkSiVYu7KTomNmST0oaFYB9G3Sn/SBk3msD5T9jmVCIAufzeYg0X+fyRphm76vWeudNw9HWcs0cLbFCLRBQNcRtWOpq9u64faLNo0keqZPXlCCOcUAHRGOmRKZ0Fsz5rHeoPaLCkIgG5/NS6SmoxwF1D0GOLEnkK4b3qlYmX/19E6/xgiMGYFbhYSsXwsZrP8zcGf74IUNAF0X1Y0s3eb428A2N329eawpYq6/Kghk47N5Tsw24QtQWz/KTtpHOQRQHI6CGF2MgBEAyRxMbuno2ubQJRcvKNv3Y8OO017hw0l8UNptQY2PeWzoWer3jxWBbHw2z4mRUJGuPCog8M6Z4mKmgVaKgw8A9wf+ONYRcL+MQM8IvAXYF1AArG7rDF364AXFwyiwX0dKuh2p2JhSinmslJFyP4dAIBufzXNiZKBuRCiSWI6FgnBzFmWYFlHvlPMlbtsIFISAjlX0A65M8vpBnw2CH8qUPnhBNxQVCyQVZKljf38oYxu+1zzWEDBXXxkEsvLZIidmy5Bs7njgSRmhlurlF8PNC10jdTECRgB2DrEhXa5W58CxL15QUK+E8MQ/++UwJHGb5rHEgLq5pUIgK58tcmJ0/VGpATYJt5Sq0gN0QVvCdhcATweO6tKQnzUCS4SAEvRtG45zq1Jn9G1ySl6QArFu8hwHXDxjyAHAMcDXAYnKjT3Y3zzW90z0+0pCICufLXJiBJDkv08BHg/oPCtH0Q2ot2Z+R45+u00jkAsBfTgoBua9I92FSMEL2rlQ3N3mC65S62bS0eFYSbnNxh7kax7LtRrcbukIZOezKidGgb1nhxQAIhLlM0pdRFQiLBGjgntdjMCqI6Ds6jrCVZzYGEUfU/CCbiSJW+TEyAHQx9J0eQOwP3Ao8LwCJoR5rIBBchcHQSA7n1U5MbJ4F+A0QFcf9WWYumibaXc7MalhdXuFIqB8QdqFUf4yHamMtaTgBXHKenN2eaXUK20cpR25L/CrsYIw1S/zWAGD5C72jkAvfFbnxOgMXDskuj6oWxJ/SQzDycFB0s2kMxK37eaMQGkIvDZoM90F+MmIO5+CF8Q9jwtxP/pQ+mZQ7H4lIHVPHWP/cMQYTHfNPFbIQLmbvSLQC5/VOTGyWJLnSsIm/QZtDaUsmwLKbPmmAtU5U+LgtozA1kHOQDeSFOw69pKKF7Qbs2PIWK2PJEk6aDcqR/LZXJiax3Ih63ZLRaA3PotxYgSizuiVikCxMReViqr7bQRGioC0UZQEUbcAdbw69ts4ExjNCyOdUO6WERgQgV75LNaJuWqQA79Z2DnRebWLETACaRB4KfDEEMw7e904zRvytGJeyIOrWzUCJSPQK5/FOjECVKp7+lo8N+i6lLTdW/KEcN+XGwEJQUnUbY9wY6c0a80LpY2Y+2sE8iHQO581cWJk9kbBkTk26Dvkg8ItG4HlR0BCbrrZomvE7yzYXPNCwYPnrhuBRAgMwmdNnRjZujFwOnAw8LZExrsZI7BqCGwBnAq8YknWkXlh1Waw7TUClyMwGJ+1cWImOzLvCeQreXAfLXk6G4F4BLYBTgo7MMsk8qgdGfNC/DxwTSOwDAgMymdtnZhlAN42GAEjYASMgBEwAgUjYCem4MFz142AETACRsAIrDICdmJWefRtuxEwAkbACBiBghGwE1Pw4LnrRsAIGAEjYARWGQE7Mas8+rbdCBgBI2AEjEDBCNiJKXjw3HUjYASMgBEwAquMwP8By7hUrGyD6AQAAAAASUVORK5CYII=)
=![](data:image/png;base64,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)
= 13.552 + 11.498
= 25.05 cm3
Volume of 45 gulabjamun = 45 × 25.05
= 1,127.25 cm3
The volume of sugar syrup = 30% of the volume
=
× 1127.25
= 338.17 cm3
= 338 cm3(approx)
Question 4.A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are 15 cm by 10 cm by3.5 cm. The radius of each of the depressions is 0.5cm and the depth is 1.4 cm. Find the volume of wood in the entire stand (see Fig. 13.16)
![](data:image/png;base64,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)
Answer:Given:
Depth (h) of each conical depression = 1.4 cm
Radius (r) of each conical depression = 0.5 cm
Volume of wood = Volume of cuboid - 4 × Volume of cones
= lbh – 4 ×
r2h
= 15 × 10 × 3.5 – 4 ×
×
× (
)2 × 1.4
= 525 – 1.47
= 523.53 cm3
Hence,
The volume of wood in the entire stand= 523.53 cm3
Question 5.A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.
Answer:![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RDuRXhpZgAATU0AKgAAAAgABAE7AAIAAAAMAAAISodpAAQAAAABAAAIVpydAAEAAAAYAAAQzuocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGFobWFkIGF2YWlzAAAFkAMAAgAAABQAABCkkAQAAgAAABQAABC4kpEAAgAAAAM0MQAAkpIAAgAAAAM0MQAA6hwABwAACAwAAAiYAAAAABzqAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMjAxODowOToyOCAxNToyMzowMAAyMDE4OjA5OjI4IDE1OjIzOjAwAAAAYQBoAG0AYQBkACAAYQB2AGEAaQBzAAAA/+ELHmh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8APD94cGFja2V0IGJlZ2luPSfvu78nIGlkPSdXNU0wTXBDZWhpSHpyZVN6TlRjemtjOWQnPz4NCjx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iPjxyZGY6UkRGIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczpkYz0iaHR0cDovL3B1cmwub3JnL2RjL2VsZW1lbnRzLzEuMS8iLz48cmRmOkRlc2NyaXB0aW9uIHJkZjphYm91dD0idXVpZDpmYWY1YmRkNS1iYTNkLTExZGEtYWQzMS1kMzNkNzUxODJmMWIiIHhtbG5zOnhtcD0iaHR0cDovL25zLmFkb2JlLmNvbS94YXAvMS4wLyI+PHhtcDpDcmVhdGVEYXRlPjIwMTgtMDktMjhUMTU6MjM6MDAuNDA3PC94bXA6Q3JlYXRlRGF0ZT48L3JkZjpEZXNjcmlwdGlvbj48cmRmOkRlc2NyaXB0aW9uIHJkZjphYm91dD0idXVpZDpmYWY1YmRkNS1iYTNkLTExZGEtYWQzMS1kMzNkNzUxODJmMWIiIHhtbG5zOmRjPSJodHRwOi8vcHVybC5vcmcvZGMvZWxlbWVudHMvMS4xLyI+PGRjOmNyZWF0b3I+PHJkZjpTZXEgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj48cmRmOmxpPmFobWFkIGF2YWlzPC9yZGY6bGk+PC9yZGY6U2VxPg0KCQkJPC9kYzpjcmVhdG9yPjwvcmRmOkRlc2NyaXB0aW9uPjwvcmRmOlJERj48L3g6eG1wbWV0YT4NCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgPD94cGFja2V0IGVuZD0ndyc/Pv/bAEMAAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAf/bAEMBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAf/AABEIAR0CTAMBIgACEQEDEQH/xAAfAAEAAgMBAQEAAwAAAAAAAAAACAkBBgcKAgUDBAv/xABCEAABAwQBAQMHCgQFBAMBAAAGAAUHAgMECAEJEReZEhMhMUFY2RUWGTlRV2F4uNgKInGRFIGhsfAlJsHRKTLxQv/EABgBAQEBAQEAAAAAAAAAAAAAAAADAgEE/8QAOREBAAEDAgQDBAcGBwAAAAAAAAECESEDBBIxQVETFCIFYYGRJDJxobHB0RUjNENEYiUzUmSCkvH/2gAMAwEAAhEDEQA/APfwiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICInPo455+xB/DzXTxT2dvZzx2cez2+rjt+z0+js/8AaVdlNHZzz9nP9P7fj2//AIo8bMFr+Aa8z0dCef8AJZWFQ7IpWNOXFnAy+Gx+Ygh6eWdxrbnP/pGR5p1brV2qxl0c41/jiq1f54tXb1VPhjhTrAdS5i1v0w23x+rlAu6c4TjPArGhl0k8bXHW7BmzLZiwqNQyqit3gSmmZWl9u0tLETCPN4TjYd/6ux1ZOUSVXbQcaR2tc7vd6m0iIvRGzvNWL+bzGe3pm8zaMXuxPp20a1ufm4tbMxtLZ+Wc5h/oUp61SvuZ1oIu0nkWSAUx0u6j8wicPsjI/S9Pev8Aq93ga6RladBNoNXFtMJZeD8THsS6MBhA0kBVdt0X2Iex3TH5v5VeXTetWf09mutnqZry760CYyH7JbbH+1kRYewkTR7pxCjjMMhXIFeWep1Z5ndxRzfBfJagzJbLbjd4/wANw8k9NDQ9V3xWxYxsm7TSrijTq1Yp4opvTjN5jpf7/siZ6NU+rgviaopmL45xGbf8vvj3LjeOafK9fPbxz2c/j209n+X8vq9fp+zj1558nt57O3tp9n2/y+T/AE47OP8A949nh31q6lM643Sd2E2hs7u7FCV9/wCsGcRxG8zVw+JbgHmHDRhmBlwMixqj3ZyU48ZAkFroeeKeeKSHgnDrVd+kVE+PK/l9PYt1F4bKNmdxtT8USlDHknRyNY/lOWXnLZhWsSfmCRgKk7Y8ePXawbXn15faR+5xxl0EQ4K2aL9XFi3lX7dXnU071UTXq2tFVNERmM+S2u7mOVvqbmMc4veY5MRXGpqTp6M34Ymapty4d3Gz75+k4v1mJssR44p47OfK/Hj09n/PZ/5/DHop7ezt59Xtp9n+vp59fHP49nqVEr718tVsDXHUHYYPhHcaXnnd3OkrEgHWqEoYZZS2dKG6HnZ7ZZHKXAEHT+sXtsItdZLdVfFiR8wkyLD1bv2xe783TLkVs+1u2PDdm4GEtgBdhPgsfJ299yHQLlYUzQmTAQhD3p4EjIMkMP5uX62IyEiRjeh8hYrl3J81lttVNnm7aptXau6t9KndVatMxG0zV7sRNp6RN7xHvam9E7W/PeXim39sRy52zy6z8Um6efRTx7Kuefb6/R2f8/p2r5p4/mqp5+3/ANc89n9ufs4/t2KhVv8A4mTolPr22CzRujVnPjo74DE3tlGtm29NzLc3Nxpa7DfRxdgWi1xcuZFVFunzlyi123LdVVXFPbwv2/4gHbmdtKdD8KaNe5rr16NL+wkIgD5KV0AEJX4FgAudnnALnSoCNx4rZnyrFavKeucbHYayC/Q2U42Lcs3aqfMw1dSaNLa6sRPrmI6x9bhzNu17T+XXejE6utr6VpjMW4sXxF7e7v8AdmV6Hq5o45+3/fnnn/wsevmrs9nPPb/z/NeejombXZu0T7Nbre61Az1T8RibRvCxwWjRgU0lLInzKL1684l3yLZwxw7Nh8locmlh4fcoZ4GMLLaK8exl05t6uzRMTeTqxwNo5JUWQg9RVtDsrsdLzU7FwnrTp3DVU2TfzHjJ8tW3OU3IRqIBbGxgei8wubTxf+cN0irvW797EGL2Kwk+eO01fTO16xV+kTMfdVPz6J6cTqTuYi/o596YiKbX7ZnF+d+t82q8ce3j+nt9fk/+/sTinsq47fb2/wC3pVGUu9e3UyKHrX8Qqh3c2UZB2o10xth4Mi2Htdcg4lIwwOXWtpfYttR/QSYhE1SqN2GosICZme7FkTb2AJI8isyru1i2MUcGYv4n7p+kjHH5phRLvFYjcjOh6L5ZlTO1kccCM9WpNeyfljaY/wBiD+ov4HWou5x+eC2tgjLKlPIrF7nZRxdI6bwzbzpURr6vBpRVN5vHvnjja8Md54qbR/djE2b1L6WjGrqc7cMRTF5zEVRaI92euHpLRfHHPFfHt49XP9+P819q3LHZyJiqLxykRER0REQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAWOfVz/AE5/2WUQRz2XEn8/16ngFEsGl1LDSGpHFBps4v4GJw5vz8EPTMzt1bk5/wDSMfzzs427dV7Kq4xLHFVVy9TzZt3uKvI0B9FDbXXLpwdOmddYNaQuNesNpjKzmUyKODBlDoW+T5GJbKhtSWRlLMrD5xYAZLt1gDoIUUXiSTrlmgIslAhj0Y9x/pF17a+yn+b2c8+Tzz6OfXx6P9PT/p7U7O3nj28/zcdv29vH4+r7OfR7VHSmNHXr1tLinxI2HHyv9B8zERE3ptEzuf38TzimLTEwnNEVaNOlXa1M7rEXt9LmLxbtFpjv9kPCt1Wekl1ANv8Abjc2U3zp+4W5OHPsLQ5Z02lwp3sZoewen/nh8fPXzwiq3Cvz8HWeTX4mObly95imzeiaksdsYy5K7lwqkyvGlYH6OdT3R6d+nZuVr1qIJ7XFop0nIc0G2K19e9iIuhh+iCQI+aWN1yC2zIpBcJxV7ZqHu3QP00R3bJqb1LGQeXd5tEtgpuevvmnnn/7cenyeez1cc9nPpq9XZxxz9vb6Px7Vjjir/wDrjjnjmnjtp55p59P+Xbz7e30etXorr0tKdDRiiIrmeO95vTO13G2qjM2m8bmZvExrRVET4mHa/wB5rU6tcWiiKaYiIxePK5nr/T8ojw8z3m/iSudJfqRXelNM2upXBQy7bLHPWCr2pvjoDKMXWgd5ivKIh52fpCDnsxOx3zYtzeanf5uDRLUMSnzj82KcoTsc8881Tq2Q1T6mcK9SndqfNNtXov2SjfqNa2xjET6fyLPYvEDFq9I8dhNMXYxKZCLjZ4PZNBLbNZ5I8sfjlmvEJJzc5oxCkZv2uKc71A88c+VRz6+OKuefw4/l7P8AdZ54q7OKuPXxTV/fs44/359n4qEU6fBFFr31Irm01fWjZ7T2ZOJmbx5faUx3vebuaFMaNe6riPr3p/7byPak25ctz8LRMcpx4p6+l5uAKdMPpvQHI3SrFNvpP16Y55tvzaJ7yi+p20OrMwFcrvhdHUqw/sIzEJNHL4E0sGR8u5oDTWUUVSnbj4nyBfmkR5t0+ijpZRTupEPT/hCO96pKyjzaZvHn7JMiF4JO8YqY8F4d3R1Dhc0POy7RJZzH484sw8YFFi7exyEla8niwTlWLTbLSWzX0+zjjjj0/Zz/AF59P4ejnn1c/wBljt9HPHHHHo49Pq59vr/p6P6cKmrq+LG4pmn+Li04mLWxjNrTe986nS/OYzRp28reY+iTM981du0ZnvHLOIUKtugPW5wnpvcXf+IEreWPHdsHKcByjpS6kYPLk3UuFFy41cOVo0rvN1V21RXYpdrVHN3jy6b/ABTXcs0UVWKbnyDuRGUashxpZAcdbRmw4dttB9A5tK1MGEZ7HLm0vLTfsxJKhBi5QExHTAZugiRXqZBs1iuWFNB6OYFzg2yRTyJuInDHgxoTETER+nbPOPxVz4/j3i9umInlnH2PNr01NMN0CPqY7ZdWLc+CQHTEim6IRmAQTVYJlIdmggymtk+ZNx4k6X5JBeKQF4eqOI7ZWETqYv8AuDLsPL9ZLBcVsDY5dLf1d59ct+YY6pUUdTrSXWsa3bxM7Ux/0+lzX95nUB16NB5u5PnST2OQhKQ5Mx+Bj5Iod+GpiyMazi5j/VxZvWP8NfsFFwlFPRdV5HlcdvHPb6ezn0ej0cejs7ePZ6Pt49XKU+TzVV5PHPFXo9PPPr7OPw/D/nCzji2s6c38nExTE3mJpnxoqi0Tmm+41Zt1mY7Q5F/pXiWiN9w01UxePTEba0YzidvE/Hs89onrPvPI3Vs0c3inCFwYUYRHQWU4ynHNjuRRYiF4vmMwNiB4aYua7L2/2j8zuMDG7NDGSnQuK5AdfIbb1dxczGw6qLfFX5T0nuoA49Cfc7TPHga9k7Hyv1ACKaQOOe9aFauCCMHSaItMLJNUWVH3zCY/OMjG9PXA+SFnBPa4sc012vP3LFjn2p+jt44+3j0ev2Uf29H9O1Y4547ePZ28ev8AHyf9/wAPWs6X7nU2lejiNjPpi05v7Vn2t6+V/pNdVM3i3g+mOVyYiefa0Zvny3lY5xPLQmeUx6szl+OyWLuK2N9m96b9nAw7N77OKqbNFur+3Plf19HH9f2qeO2nnj29vb+H/PR/svqnnjt54447Pb/z7P6L69FPH2ccf6L011zXXNc85m/x5/K6Ojo+FoxpXvaMTy5RHx5soiLD0CIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIqy2vaDcqVM4szdf9XtYXMYD3zEDS5h2G3PlGCp/iyRmsYYHssjmX4gAtE9kQcOfxy+/4zyHvgpN8oxnL0VO8fbBxKZlMSygJEmUFmiKv3vI6pnubaB+JVsd8J1O8jqme5toH4lWx3wnUFgSKv3vI6pnubaB+JVsd8J1O8jqme5toH4lWx3wnUFgSKv3vI6pnubaB+JVsd8J1O8jqme5toH4lWx3wnUFgSKv3vI6pnubaB+JVsd8J1O8jqme5toH4lWx3wnUFgSKv3vI6pnubaB+JVsd8J1O8jqme5toH4lWx3wnUFgSKv3vI6pnubaB+JVsd8J1O8jqme5toH4lWx3wnUFgSKv3vI6pnubaB+JVsd8J1O8jqme5toH4lWx3wnUFgSKv3vI6pnubaB+JVsd8J1O8jqme5toH4lWx3wnUFgSKv3vI6pnubaB+JVsd8J1O8jqme5toH4lWx3wnUFgSKv3vI6pnubaB+JVsd8J1O8jqme5toH4lWx3wnUFgSKv3vI6pnubaB+JVsd8J1O8jqme5toH4lWx3wnUFgS5FJkbsEvR8/R8RuR21sT/ea+HVwjKWZZgg8xq2d4aHjzjPK0LmEdyOP+XkNVr/ABFY4TjtogG+b4xmefFH7Ox8iLXeR1TPc20D8SrY74Tqd5HVM9zbQPxKtjvhOoM/Rp68feRv74r/AFTv3lp9Gnrx95G/viv9U795ax3kdUz3NtA/Eq2O+E6neR1TPc20D8SrY74TqDP0aevH3kb++K/1Tv3lp9Gnrx95G/viv9U795ax3kdUz3NtA/Eq2O+E6neR1TPc20D8SrY74TqDP0aevH3kb++K/wBU795afRp68feRv74r/VO/eWsd5HVM9zbQPxKtjvhOp3kdUz3NtA/Eq2O+E6gz9Gnrx95G/viv9U795afRp68feRv74r/VO/eWsd5HVM9zbQPxKtjvhOp3kdUz3NtA/Eq2O+E6gz9Gnrx95G/viv8AVO/eWn0aevH3kb++K/1Tv3lrHeR1TPc20D8SrY74Tqd5HVM9zbQPxKtjvhOoM/Rp68feRv74r/VO/eWn0aevH3kb++K/1Tv3lrHeR1TPc20D8SrY74Tqd5HVM9zbQPxKtjvhOoH0aOu33j7+eK/1Tv3lrP0aWu/3j7++j1f/ACv9U795ax3kdUz3NtA/Eq2O+E6neR1TPc20D8SrY74TqDP0aevH3kb++K/1Tv3lp9Gnrx95G/viv9U795ax3kdUz3NtA/Eq2O+E6neR1TPc20D8SrY74TqDP0aevH3kb++K/wBU795afRp68feRv74r/VO/eWsd5HVM9zbQPxKtjvhOp3kdUz3NtA/Eq2O+E6gz9Gnrx95G/viv9U795afRp68feRv74r/VO/eWsd5HVM9zbQPxKtjvhOp3kdUz3NtA/Eq2O+E6gz9Gnrx95G/viv8AVO/eWn0aevH3kb++K/1Tv3lrHeR1TPc20D8SrY74Tqd5HVM9zbQPxKtjvhOoM/Rp68feRv74r/VO/eWn0aevH3kb++K/1Tv3lrHeR1TPc20D8SrY74Tqd5HVM9zbQPxKtjvhOoM/Rp68feRv74r/AFTv3lp9Gnrx95G/viv9U795ax3kdUz3NtA/Eq2O+E6tKLZv6j0fi5EeHOrvTqEAkPYXUmMS0r6oM9MAmIDjLg3Xh5Iyp+fOlxjMrEyDLC3330gIn+uzjYti3cv13bdqnmrkLN0URdRJRn+Z4exJM2DgRg1vKiR+JeRCOWaTC6Rs+9HPF/isOOy+k8grXE9jd9kS3xdJ8eIy2M8OTwkZdhnGl7CD5ZumEXRnLpARQpCpMkF3332OhbOe6r0bAWo+lcmC4zS2tdFDMZS9M/UIEj95+V/knh+daSRjg6NMflneHu6xDfItaqFrFushJa3yayAiIgIiICIiAiIgIiICIiAiIgIiICIiAokzRDZbnFuFP8DZY8MbEiQ/jDF+wSX3TBjTYGOmd0d36xBE6XmJmfne2P23h2IXuH5iHxkolDVeTCB+MBEbk6JZI2D172ClsiDg0LzWLTmLZz+Otr+LP46Q5gTKEZmGI2YMnwvI7a3M7y7x9JbKzu5Gz4z9YY3lkJBx9HCImjSTY2IQWWYjMJKh+RY3MCnvKiTNENlucW4U/wADZY8MbEiQ/jDF+wSX3TBjTYGOmd0d36xBE6XmJmfne2P23h2IXuH5iHxkolDVeTCB+MBEbk6JZI2D172C32F5rFpzFs5/HW1/Fn8dIcwJlCMzDEbMGT4Xkdtbmd5d4+ktlZ3cjZ8Z+sMbyyEg4+jhETRpJsbEILLMRmElQ/IsbmBSHeUREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBEWil5YLAAsTnByQsQgDiLC6k5eXlT23D4sIDrHgXHp7JCp8e7+OysDIOMjfkPj8QEF+3jYOLbu5FeTxap82gF5YLAAsTnByQsQgDiLC6k5eXlT23D4sIDrHgXHp7JCp8e7+OysDIOMjfkPj8QEF+3jYOLbu5FeTxap82oiioqUbVlQ1LcwjRCHwOGvzSa68a9GrM9DxSbETI62nYQ2a2cEX23beWR7YHtvaCXXPV8pwrWXAuZZYNhNihzG21pi6LdEQqKlG1ZUNS3MI0Qh8Dhr80muvGvRqzPQ8UmxEyOtp2ENmtnBF9t23lke2B7b2gl1z1fKcK1lwLmWWDYTYocxttaYui3RGeiAiIgr+jn60zcj8gXTT/AFG9WJWAqv6OfrTNyPyBdNP9RvViVgKAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgKJM0Q2W5xbhT/A2WPDGxIkP4wxfsEl90wY02BjpndHd+sQROl5iZn53tj9t4diF7h+Yh8ZKJQ1XkwgfjARG5OiWSNg9e9gpbIg4NC81i05i2c/jra/iz+OkOYEyhGZhiNmDJ8LyO2tzO8u8fSWys7uRs+M/WGN5ZCQcfRwiJo0k2NiEFlmIzCSofkWNzAp7yokzRDZbnFuFP8DZY8MbEiQ/jDF+wSX3TBjTYGOmd0d36xBE6XmJmfne2P23h2IXuH5iHxkolDVeTCB+MBEbk6JZI2D172C32F5rFpzFs5/HW1/Fn8dIcwJlCMzDEbMGT4Xkdtbmd5d4+ktlZ3cjZ8Z+sMbyyEg4+jhETRpJsbEILLMRmElQ/IsbmBSHeUREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERARFopeWCwALE5wckLEIA4iwupOXl5U9tw+LCA6x4Fx6eyQqfHu/jsrAyDjI35D4/EBBft42Di27uRXk8WqfNoBeWCwALE5wckLEIA4iwupOXl5U9tw+LCA6x4Fx6eyQqfHu/jsrAyDjI35D4/EBBft42Di27uRXk8WqfNqIoqKlG1ZUNS3MI0Qh8Dhr80muvGvRqzPQ8UmxEyOtp2ENmtnBF9t23lke2B7b2gl1z1fKcK1lwLmWWDYTYocxttaYui3REKipRtWVDUtzCNEIfA4a/NJrrxr0asz0PFJsRMjradhDZrZwRfbdt5ZHtge29oJdc9XynCtZcC5llg2E2KHMbbWmLot0RnogIiICIiCv6OfrTNyPyBdNP9RvViVgKr+jn60zcj8gXTT/Ub1YlYCgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAokzRDZbnFuFP8DZY8MbEiQ/jDF+wSX3TBjTYGOmd0d36xBE6XmJmfne2P23h2IXuH5iHxkolDVeTCB+MBEbk6JZI2D172ClsiDg0LzWLTmLZz+Otr+LP46Q5gTKEZmGI2YMnwvI7a3M7y7x9JbKzu5Gz4z9YY3lkJBx9HCImjSTY2IQWWYjMJKh+RY3MCnvKiTNENlucW4U/wNljwxsSJD+MMX7BJfdMGNNgY6Z3R3frEETpeYmZ+d7Y/beHYhe4fmIfGSiUNV5MIH4wERuTolkjYPXvYLfYXmsWnMWzn8dbX8Wfx0hzAmUIzMMRswZPheR21uZ3l3j6S2VndyNnxn6wxvLISDj6OERNGkmxsQgssxGYSVD8ixuYFId5REQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERARFopeWCwALE5wckLEIA4iwupOXl5U9tw+LCA6x4Fx6eyQqfHu/jsrAyDjI35D4/EBBft42Di27uRXk8WqfNoBeWCwALE5wckLEIA4iwupOXl5U9tw+LCA6x4Fx6eyQqfHu/jsrAyDjI35D4/EBBft42Di27uRXk8WqfNqIoqKlG1ZUNS3MI0Qh8Dhr80muvGvRqzPQ8UmxEyOtp2ENmtnBF9t23lke2B7b2gl1z1fKcK1lwLmWWDYTYocxttaYui3REKipRtWVDUtzCNEIfA4a/NJrrxr0asz0PFJsRMjradhDZrZwRfbdt5ZHtge29oJdc9XynCtZcC5llg2E2KHMbbWmLot0RnogIiICIiAiIgr+jn60zcj8gXTT/Ub1YlYCq/o5+tM3I/IF00/1G9WJWAoCIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICiTNENlucW4U/wADZY8MbEiQ/jDF+wSX3TBjTYGOmd0d36xBE6XmJmfne2P23h2IXuH5iHxkolDVeTCB+MBEbk6JZI2D172ClsiDg0LzWLTmLZz+Otr+LP46Q5gTKEZmGI2YMnwvI7a3M7y7x9JbKzu5Gz4z9YY3lkJBx9HCImjSTY2IQWWYjMJKh+RY3MCnvKiTNENlucW4U/wNljwxsSJD+MMX7BJfdMGNNgY6Z3R3frEETpeYmZ+d7Y/beHYhe4fmIfGSiUNV5MIH4wERuTolkjYPXvYLfYXmsWnMWzn8dbX8Wfx0hzAmUIzMMRswZPheR21uZ3l3j6S2VndyNnxn6wxvLISDj6OERNGkmxsQgssxGYSVD8ixuYFId5REQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQERaKXlgsACxOcHJCxCAOIsLqTl5eVPbcPiwgOseBcenskKnx7v47KwMg4yN+Q+PxAQX7eNg4tu7kV5PFqnzaAXlgsACxOcHJCxCAOIsLqTl5eVPbcPiwgOseBcenskKnx7v47KwMg4yN+Q+PxAQX7eNg4tu7kV5PFqnzaiKKipRtWVDUtzCNEIfA4a/NJrrxr0asz0PFJsRMjradhDZrZwRfbdt5ZHtge29oJdc9XynCtZcC5llg2E2KHMbbWmLot0RCoqUbVlQ1LcwjRCHwOGvzSa68a9GrM9DxSbETI62nYQ2a2cEX23beWR7YHtvaCXXPV8pwrWXAuZZYNhNihzG21pi6LdEZ6ICIiAiIgIiICIiCv6OfrTNyPyBdNP9RvViVgKr+jn60zcj8gXTT/AFG9WJWAoCLkBzNcPxW7gI9JcrRnHhFLBLwGRkxHx6MiT9IZhXRR/wBqx+1PrxYyDAh5qqs8fN4doycmnmvjttcc19nOXOY4iY5JG4ZfZUjtnl4zH88hDYmcTwXwZLLRpl5r+WSUSALrxYJH1kY6rdfGa8MrBftY1Vrmm/cteRxzyjPLPOMd4zMfCMz26nL5RPwmbRPxnEe/HN15EXHMOa4bcpVeoMbJajRwm4ZHW8vJoZwDkayZRGw1zq44aSp4jv5W+czIP3rjg2+YIslhoxMjm9j2+Llzm/Y7OXjGefL39fwPwx982j5zMRHeZs7GiKMmsO2ECblRtky3rceVyFH2CWlgFkkPIucCXNJeIulxoKWytlOmAZf6fkd0p8iq5TY8zVTzzTYu8+TRVx2M8s/Znrb8ZiPtk/8APz/BJtFjt4+3j+/CykTExExynlPcOz1c/Z6kRRlnDbjVXWTLH8HZXZrXrXzLMcNyyBS3N80R1E+aS4zLXYtvVbFSaPw/W80sdbw2W8jlnu182KnOji5zb8qi5dXi9us8vhzIze2bZ+zl+sfNJpFqA6RMZWwsxGLvDSQDpG2tr8wETO5N72xP7I7YFhzanlnd2/z2M6Mr61V83cN5t3LtrJtc0XsarIt1UV1bd28evt47E5TacT26+/HyLxa98d+nzZRY7ePt4/vwsoCIiAiIgIiICIiAiIgIiICiTNENlucW4U/wNljwxsSJD+MMX7BJfdMGNNgY6Z3R3frEETpeYmZ+d7Y/beHYhe4fmIfGSiUNV5MIH4wERuTolkjYPXvYKWyIODQvNYtOYtnP462v4s/jpDmBMoRmYYjZgyfC8jtrczvLvH0lsrO7kbPjP1hjeWQkHH0cIiaNJNjYhBZZiMwkqH5FjcwKe8qJM0Q2W5xbhT/A2WPDGxIkP4wxfsEl90wY02BjpndHd+sQROl5iZn53tj9t4diF7h+Yh8ZKJQ1XkwgfjARG5OiWSNg9e9gt9heaxacxbOfx1tfxZ/HSHMCZQjMwxGzBk+F5HbW5neXePpLZWd3I2fGfrDG8shIOPo4RE0aSbGxCCyzEZhJUPyLG5gUh3lERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQERaKXlgsACxOcHJCxCAOIsLqTl5eVPbcPiwgOseBcenskKnx7v47KwMg4yN+Q+PxAQX7eNg4tu7kV5PFqnzaAXlgsACxOcHJCxCAOIsLqTl5eVPbcPiwgOseBcenskKnx7v47KwMg4yN+Q+PxAQX7eNg4tu7kV5PFqnzaiKKipRtWVDUtzCNEIfA4a/NJrrxr0asz0PFJsRMjradhDZrZwRfbdt5ZHtge29oJdc9XynCtZcC5llg2E2KHMbbWmLot0RCoqUbVlQ1LcwjRCHwOGvzSa68a9GrM9DxSbETI62nYQ2a2cEX23beWR7YHtvaCXXPV8pwrWXAuZZYNhNihzG21pi6LdEZ6ICIiAiIgIiICIiAiIgr+jn60zcj8gXTT/Ub1YlYCq/o5+tM3I/IF00/wBRvViVgKDyj/xIRQfiE3dFksieNuJikpi37bnYCi62aNEa0yKZNdgO4ZAWk6IOLw6HVEzr5tk5JCCjmkequ85HNHNqi5wuFjU+bfy7/EH6FEu5Wi9zR8hF9Rtrvm0E2NmYw2brMxugOOXFzKLZBF7UwszFVbdfIZ+GMhq7b93syKblrmmjnj0Xba6ExFuZI+okpScQyYyEGmE5t0/RfjgzwLtzEQGTRWzXbLbImK/BJPdeB7tZ7XFyyOZAxmc8edtWyOxxX22/7R5ofFMh7twRvs9EkiYkya8xYfRIHD7Y4jHEaOo5I9p3tvrmWMWSF3yFyfeeXS7zjXGAsHMezzzRxdx8mm1XzdhtqtTbxERTExVu/aFNU1cV6fO+zZ21NVNpiMbnhveJiLzMRExeM7iadSrTiaZtTsNlTNXqibbX2nO5mMTw/UrtfhvMXiZm8PGqJdbTrUTq417ba8xzvZIsdZ0tZ10J0/irpQC8maaEsYCx7yJOQs476MRy/wCwPJlwNYDu9GLyxRtet48t2skXxMYcD/IpbLdT7auSIg6sPVUNxOPYkzXGBekaybEiGIRxTDwieZhgxjrO92haRZxZw4bmUgBrtTdZt3hsnk3IExnhptVUUDFdizexZN4X8PLqK1mZX8zNhN/Iw1yOpCzT430IivaZ4BNJiXJeqWioqG3eKGdk+cVwZKqmii4VMtiSqKaaqq8AVqHBTFHxnA3ze/pZ8yfidRHYrXZ2cHjbTcbSfP1EwBCSX4dtwPjjrdaxbFn5KbrQPefmc2vtTbdoxSMjKn0fsk9yzzzijmPTeyrHdWqijY7SNOmPM7bzccXDVMW8jXt8zfNPjU1TTai8f6p44iLavg6++mmP4Pz2ytEzbh/xTa7q84xT5a8TmYza+LKN+lR1EOpHvfurqMIgvVUctmYhz4zsTtvoAMvTnjGKBPWhypZmt3q1cc5WeQsefTD50P1b1HQ1L0fFPFym6zfOrDsEmPTdtUwk1an/AKl2jHSsKd9YL2gjEQ1lhHfw5ZH/AFKqgcZOHqcWEunlkZi1zkSbzS/fIgy9cfXzlhYh6NLApz80/OEdZjZLblNriyPpa6N9a2JNsdY887xt3teda4nGHNsnVm286osM71xFIgpaFW4VY4xg3X6KQca5id3tu1zh7Fnl+yXxvFRlk/w1JVVmY1kdMblXLoa6puHT7Pem5fkLYXmDJJl1xmp9K8UrjOiW8UwcJAZpGrwGl+4ibkUtsnD002bdNFwKqyaGTi7j1Ztdd3z9HpirS0tbZ6sRE7WqmmK7U01TMT7Q2+vXMxFP+V5e9MeLm0TN7zFaWnNOp53S3H1fEpq05jFMUeW3G2iI/wBx5iI7YnrPpVF5MIbik38UaVVBG83EfX72iYdM/OTzrRF5bxzqpxssG1OumfNDu9W6aKiB7puP9ewlPPedYpucWbONTRb455vx6nGw89a5wqGmeu83dOKAi16k/AH3Iq6msnncUQo7jdYmQO9bOKvAM9Drzdk+p3amq/iMWXdyMe8MthNXet03bFryfxtgOlbCs/bdwbu1al/aSBJ/hIaF4+yn3XSU8GOmma4rE5BsnjTGU3NVwLJLZaCZL7S645IwMGSMUk4893sIurybOGKUjU2Jn10gPZIebg/YSEYknkRZXv5xtIlNEZhUpD7MQUtdxssvGAxGrOQM1DzS2ubrZtPNNrjIs23XIx+btVm/et8wrrivabbb6MUxG1ndU5pppqnh3czHqpjir4tvMWvVMROYtOrMzzRxudfU1Jm3DTTTFukbWIze0fxGbxMWjpeOFVd0wNytu9lJWkAa2L2p6JOwA8Px7Q+sbD0vZ3k+V5QZSKskZ2ul6kdnNyEhttYDy23LuH8s26bd7gkuMNnt5pqr5VD/AFHgE1Mur11AnzVXR2JOr4XNum4K0z5Gc8Azc6NuiBjzH9VUX90ZJJTzSxGz8WtnFuRcuJIYHqpOKb9ZGNhZOMF+MX5FPsFhrTPUbWp8dCPXLVXW+BSB/baGB7IYVg2MYrfHZlpcPlalpeXcHHR3JdmWh2tWb3yPfrrtW7/Fq/5vztNNXFcmynRAgLYvZOSdoRHZbfTTmVprHB0anfN0p2S5hdimL5rMNDSxushNjsEFtLzkYzHbtMNVphuj43etWf8AGXxuolzSF/y/Pq0+JuNpXF4inZ7uZxMT/Ktim0fhrdaZi0qbfWnRp3sVTmunZ0xeIqjO520z3npOYxebT1fPQRzYVZOj5q/ahOTz6W49Cg42+VCI3DrgkX4BVSdmBhIQNdEbTwS8NVQGTPLoKjuOyFBPjc4jG0c4hSQWeKLlcU+ktNXVc6g2FGnUjJ9wIdG9UpPl2VGf6PnD1+GuW8Wh8SdymMWp4ati6KbcuZEpY5qPVEPzeIaKxoipuV13c0axb9kOG7vNQtQYR0a18jzWjXoeyhWKo1bc5vaG9ycLr2+vjm9Z3yuTFJc85NVnh4JCJ+vOj4QXqaOMei5kc4Yvjjw1j4Y9j1+QR0MtWdcdg7MzxPMG5A7HLfLjrOo9pjY2EcsbSgWlNwt01Y5WzQo2DeJf+UWB35oIWHHfC9+xKcuziYdynIFMPHHrPs1tSrW9o7nd3vHBHhxVEYqm3mcTERe0xbta0R/MiGlpxp+zp0qrzVOpE3xE2q1IvFvsmL/k85FXU+63WDooL9RjE3QhlyGRHeTP1YatdifV0CqwpqaXGSXRrwSeXpKYbIw/svLHl3KQGgZhYfFbt8OZOCm4XXTX/FX1dlohsZ1Cow6tMz9N3djZ8L26aM/TId2+j2QByBA2Ca45c+9FpAniMWloDrlHBCPeW8OnNL+S3CojyqGIey7d0ZvXSUfuSG56FmqVOldrRPvF2M5h/H2Y42opIvnbGfeT3gck3zx5ZPlrul5YPmP8uenls+anzj8z2UfOfyqfO8zLxND4pwt/HPqLWieRqZ0ddYsTVHIGOXIWqi3mPbR7akn5ZpYqQvgloNuSFutccPFZj83ecXyqORfnI8m8p7SqIq0/GptTxVxRFqb8P7L2sUzPS37SiuZzmJiIxOGtNWtVr06McExFM0za14/aetOIx/SXj4p4oiKioiIgIiICIiAiIgIiICIiAokzRDZbnFuFP8DZY8MbEiQ/jDF+wSX3TBjTYGOmd0d36xBE6XmJmfne2P23h2IXuH5iHxkolDVeTCB+MBEbk6JZI2D172ClsiDg0LzWLTmLZz+Otr+LP46Q5gTKEZmGI2YMnwvI7a3M7y7x9JbKzu5Gz4z9YY3lkJBx9HCImjSTY2IQWWYjMJKh+RY3MCnvKiTNENlucW4U/wADZY8MbEiQ/jDF+wSX3TBjTYGOmd0d36xBE6XmJmfne2P23h2IXuH5iHxkolDVeTCB+MBEbk6JZI2D172C32F5rFpzFs5/HW1/Fn8dIcwJlCMzDEbMGT4Xkdtbmd5d4+ktlZ3cjZ8Z+sMbyyEg4+jhETRpJsbEILLMRmElQ/IsbmBSHeUREBERAREQEREBERAREQEREBERAREQEREBERAREQERaKXlgsACxOcHJCxCAOIsLqTl5eVPbcPiwgOseBcenskKnx7v47KwMg4yN+Q+PxAQX7eNg4tu7kV5PFqnzaAXlgsACxOcHJCxCAOIsLqTl5eVPbcPiwgOseBcenskKnx7v47KwMg4yN+Q+PxAQX7eNg4tu7kV5PFqnzaiKKipRtWVDUtzCNEIfA4a/NJrrxr0asz0PFJsRMjradhDZrZwRfbdt5ZHtge29oJdc9XynCtZcC5llg2E2KHMbbWmLot0RCoqUbVlQ1LcwjRCHwOGvzSa68a9GrM9DxSbETI62nYQ2a2cEX23beWR7YHtvaCXXPV8pwrWXAuZZYNhNihzG21pi6LdEZ6ICIiAiIgIiICIiAiIgIiIK/o5+tM3I/IF00/1G9WJWAqv6OfrTNyPyBdNP9RvViVgKAiIgIiIMdnHHq4449nq9n2J2cfZx/bhZRC36/n+ORERAWOzj7OP7cLKICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAokzRDZbnFuFP8DZY8MbEiQ/jDF+wSX3TBjTYGOmd0d36xBE6XmJmfne2P23h2IXuH5iHxkolDVeTCB+MBEbk6JZI2D172ClsiDg0LzWLTmLZz+Otr+LP46Q5gTKEZmGI2YMnwvI7a3M7y7x9JbKzu5Gz4z9YY3lkJBx9HCImjSTY2IQWWYjMJKh+RY3MCnvKiTNENlucW4U/wNljwxsSJD+MMX7BJfdMGNNgY6Z3R3frEETpeYmZ+d7Y/beHYhe4fmIfGSiUNV5MIH4wERuTolkjYPXvYLfYXmsWnMWzn8dbX8Wfx0hzAmUIzMMRswZPheR21uZ3l3j6S2VndyNnxn6wxvLISDj6OERNGkmxsQgssxGYSVD8ixuYFId5REQEREBERAREQEREBERAREQEREBERAREQERaKXlgsACxOcHJCxCAOIsLqTl5eVPbcPiwgOseBcenskKnx7v47KwMg4yN+Q+PxAQX7eNg4tu7kV5PFqnzaAXlgsACxOcHJCxCAOIsLqTl5eVPbcPiwgOseBcenskKnx7v47KwMg4yN+Q+PxAQX7eNg4tu7kV5PFqnzaiKKipRtWVDUtzCNEIfA4a/NJrrxr0asz0PFJsRMjradhDZrZwRfbdt5ZHtge29oJdc9XynCtZcC5llg2E2KHMbbWmLot0RCoqUbVlQ1LcwjRCHwOGvzSa68a9GrM9DxSbETI62nYQ2a2cEX23beWR7YHtvaCXXPV8pwrWXAuZZYNhNihzG21pi6LdEZ6ICIiAiIgIiICIiAiIgIiICIiCv6OfrTNyPyBdNP9RvViVgKr+jn60zcj8gXTT/Ub1YlYCgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICiTNENlucW4U/wADZY8MbEiQ/jDF+wSX3TBjTYGOmd0d36xBE6XmJmfne2P23h2IXuH5iHxkolDVeTCB+MBEbk6JZI2D172ClsiDg0LzWLTmLZz+Otr+LP46Q5gTKEZmGI2YMnwvI7a3M7y7x9JbKzu5Gz4z9YY3lkJBx9HCImjSTY2IQWWYjMJKh+RY3MCnvKiTNENlucW4U/wNljwxsSJD+MMX7BJfdMGNNgY6Z3R3frEETpeYmZ+d7Y/beHYhe4fmIfGSiUNV5MIH4wERuTolkjYPXvYLfYXmsWnMWzn8dbX8Wfx0hzAmUIzMMRswZPheR21uZ3l3j6S2VndyNnxn6wxvLISDj6OERNGkmxsQgssxGYSVD8ixuYFId5REQEREBERAREQEREBERAREQEREBEWil5YLAAsTnByQsQgDiLC6k5eXlT23D4sIDrHgXHp7JCp8e7+OysDIOMjfkPj8QEF+3jYOLbu5FeTxap82gF5YLAAsTnByQsQgDiLC6k5eXlT23D4sIDrHgXHp7JCp8e7+OysDIOMjfkPj8QEF+3jYOLbu5FeTxap82oiioqUbVlQ1LcwjRCHwOGvzSa68a9GrM9DxSbETI62nYQ2a2cEX23beWR7YHtvaCXXPV8pwrWXAuZZYNhNihzG21pi6LdEQqKlG1ZUNS3MI0Qh8Dhr80muvGvRqzPQ8UmxEyOtp2ENmtnBF9t23lke2B7b2gl1z1fKcK1lwLmWWDYTYocxttaYui3RGeiAiIgIiICIiAiIgIiICIiAiIgIiIK/o5+tM3I/IF00/1G9WJWAqv6OfrTNyPyBdNP8AUb1YlYCgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAokzRDZbnFuFP8DZY8MbEiQ/jDF+wSX3TBjTYGOmd0d36xBE6XmJmfne2P23h2IXuH5iHxkolDVeTCB+MBEbk6JZI2D172ClsiDg0LzWLTmLZz+Otr+LP46Q5gTKEZmGI2YMnwvI7a3M7y7x9JbKzu5Gz4z9YY3lkJBx9HCImjSTY2IQWWYjMJKh+RY3MCnvKiTNENlucW4U/wADZY8MbEiQ/jDF+wSX3TBjTYGOmd0d36xBE6XmJmfne2P23h2IXuH5iHxkolDVeTCB+MBEbk6JZI2D172C32F5rFpzFs5/HW1/Fn8dIcwJlCMzDEbMGT4Xkdtbmd5d4+ktlZ3cjZ8Z+sMbyyEg4+jhETRpJsbEILLMRmElQ/IsbmBSHeUREBERAREQEREBERAREQERaKXlgsACxOcHJCxCAOIsLqTl5eVPbcPiwgOseBcenskKnx7v47KwMg4yN+Q+PxAQX7eNg4tu7kV5PFqnzaAXlgsACxOcHJCxCAOIsLqTl5eVPbcPiwgOseBcenskKnx7v47KwMg4yN+Q+PxAQX7eNg4tu7kV5PFqnzaiKKipRtWVDUtzCNEIfA4a/NJrrxr0asz0PFJsRMjradhDZrZwRfbdt5ZHtge29oJdc9XynCtZcC5llg2E2KHMbbWmLot0RCoqUbVlQ1LcwjRCHwOGvzSa68a9GrM9DxSbETI62nYQ2a2cEX23beWR7YHtvaCXXPV8pwrWXAuZZYNhNihzG21pi6LdEZ6ICIiAiIgIiICIiAiIgIiICIiAiIgIiIK/o5+tM3I/IF00/wBRvViVgKr+jn60zcj8gXTT/Ub1YlYCgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgKJM0Q2W5xbhT/A2WPDGxIkP4wxfsEl90wY02BjpndHd+sQROl5iZn53tj9t4diF7h+Yh8ZKJQ1XkwgfjARG5OiWSNg9e9gpbIg4NC81i05i2c/jra/iz+OkOYEyhGZhiNmDJ8LyO2tzO8u8fSWys7uRs+M/WGN5ZCQcfRwiJo0k2NiEFlmIzCSofkWNzAp7yokzRDZbnFuFP8DZY8MbEiQ/jDF+wSX3TBjTYGOmd0d36xBE6XmJmfne2P23h2IXuH5iHxkolDVeTCB+MBEbk6JZI2D172C32F5rFpzFs5/HW1/Fn8dIcwJlCMzDEbMGT4Xkdtbmd5d4+ktlZ3cjZ8Z+sMbyyEg4+jhETRpJsbEILLMRmElQ/IsbmBSHeUREBERAREQEREBEWil5YLAAsTnByQsQgDiLC6k5eXlT23D4sIDrHgXHp7JCp8e7+OysDIOMjfkPj8QEF+3jYOLbu5FeTxap82gF5YLAAsTnByQsQgDiLC6k5eXlT23D4sIDrHgXHp7JCp8e7+OysDIOMjfkPj8QEF+3jYOLbu5FeTxap82oiioqUbVlQ1LcwjRCHwOGvzSa68a9GrM9DxSbETI62nYQ2a2cEX23beWR7YHtvaCXXPV8pwrWXAuZZYNhNihzG21pi6LdEQqKlG1ZUNS3MI0Qh8Dhr80muvGvRqzPQ8UmxEyOtp2ENmtnBF9t23lke2B7b2gl1z1fKcK1lwLmWWDYTYocxttaYui3RGeiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgr+jn60zcj8gXTT/Ub1YlYCq/o5+tM3I/IF00/1G9WJWAoCIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAokzRDZbnFuFP8DZY8MbEiQ/jDF+wSX3TBjTYGOmd0d36xBE6XmJmfne2P23h2IXuH5iHxkolDVeTCB+MBEbk6JZI2D172ClsiDg0LzWLTmLZz+Otr+LP46Q5gTKEZmGI2YMnwvI7a3M7y7x9JbKzu5Gz4z9YY3lkJBx9HCImjSTY2IQWWYjMJKh+RY3MCnvKiTNENlucW4U/wNljwxsSJD+MMX7BJfdMGNNgY6Z3R3frEETpeYmZ+d7Y/beHYhe4fmIfGSiUNV5MIH4wERuTolkjYPXvYLfYXmsWnMWzn8dbX8Wfx0hzAmUIzMMRswZPheR21uZ3l3j6S2VndyNnxn6wxvLISDj6OERNGkmxsQgssxGYSVD8ixuYFId5REQEREBEWil5YLAAsTnByQsQgDiLC6k5eXlT23D4sIDrHgXHp7JCp8e7+OysDIOMjfkPj8QEF+3jYOLbu5FeTxap82gF5YLAAsTnByQsQgDiLC6k5eXlT23D4sIDrHgXHp7JCp8e7+OysDIOMjfkPj8QEF+3jYOLbu5FeTxap82oiioqUbVlQ1LcwjRCHwOGvzSa68a9GrM9DxSbETI62nYQ2a2cEX23beWR7YHtvaCXXPV8pwrWXAuZZYNhNihzG21pi6LdEQqKlG1ZUNS3MI0Qh8Dhr80muvGvRqzPQ8UmxEyOtp2ENmtnBF9t23lke2B7b2gl1z1fKcK1lwLmWWDYTYocxttaYui3RGeiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiIK/o5+tM3I/IF00/1G9WJWAqv6OfrTNyPyBdNP9RvViVgKAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICiTNENlucW4U/wADZY8MbEiQ/jDF+wSX3TBjTYGOmd0d36xBE6XmJmfne2P23h2IXuH5iHxkolDVeTCB+MBEbk6JZI2D172ClsiDg0LzWLTmLZz+Otr+LP46Q5gTKEZmGI2YMnwvI7a3M7y7x9JbKzu5Gz4z9YY3lkJBx9HCImjSTY2IQWWYjMJKh+RY3MCnvKiTNENlucW4U/wNljwxsSJD+MMX7BJfdMGNNgY6Z3R3frEETpeYmZ+d7Y/beHYhe4fmIfGSiUNV5MIH4wERuTolkjYPXvYLfYXmsWnMWzn8dbX8Wfx0hzAmUIzMMRswZPheR21uZ3l3j6S2VndyNnxn6wxvLISDj6OERNGkmxsQgssxGYSVD8ixuYFId5RFopeWCwALE5wckLEIA4iwupOXl5U9tw+LCA6x4Fx6eyQqfHu/jsrAyDjI35D4/EBBft42Di27uRXk8WqfNoBeWCwALE5wckLEIA4iwupOXl5U9tw+LCA6x4Fx6eyQqfHu/jsrAyDjI35D4/EBBft42Di27uRXk8WqfNqIoqKlG1ZUNS3MI0Qh8Dhr80muvGvRqzPQ8UmxEyOtp2ENmtnBF9t23lke2B7b2gl1z1fKcK1lwLmWWDYTYocxttaYui3REKipRtWVDUtzCNEIfA4a/NJrrxr0asz0PFJsRMjradhDZrZwRfbdt5ZHtge29oJdc9XynCtZcC5llg2E2KHMbbWmLot0RnogIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgr+jn60zcj8gXTT/Ub1YlYCq/o5+tM3I/IF00/wBRvViVgKAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAokzRDZbnFuFP8DZY8MbEiQ/jDF+wSX3TBjTYGOmd0d36xBE6XmJmfne2P23h2IXuH5iHxkolDVeTCB+MBEbk6JZI2D172ClsiCNIHshGJnHBlLT280xI1RFZIsDYQbmNwHQYh1wfAwc+eJqNzdV8uXxgMvjIg5sp5yd2igkiwvit3G5iiUzMobkINkso5CKipRtWVDUtzCNEIfA4a/NJrrxr0asz0PFJsRMjradhDZrZwRfbdt5ZHtge29oJdc9XynCtZcC5llg2E2KHMbbWmLot0R6DLWpEQzDMURTgU4b3jHMRPjG8ZGIxv8AdbwyXsMNtmTvDwtPYFct1jkxj0HSuWVbC69XiXGuFEBT+yYxpDpWJ1k8m4xhLNAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQRtH4OuMG0swbKWymvL4liB9boKuBNLJxb4HaddpA21kPgp4KOXuut4+dd3Z6hj+QrQ5Z4HOQnnIry3+gl5tDUkkRAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERB//Z)
.................LEAD SHOTS EACH OF DIAMETER = 0.5 CM
When lead shots are dropped in the Vessel, the same amount of water will come out of the vessel as the Total Volume Of Lead Shots.
Height (h) of conical vessel = 8 cm
Radius (r1) of conical vessel = 5 cm
Radius (r2) of lead shots = 0.5 cm
Volume of water = Volume of Vessel
Let n number of lead shots were dropped in the vessel
Volume of water spilled = Volume of dropped lead shots
![](data:image/png;base64,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)
Hence, the number of lead shots dropped in the vessel is 100.
Question 6.A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that 1 cm3 of iron has approximately 8gm mass. (Use π = 3.14)
Answer:
![](data:image/png;base64,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)
Given:
Height (H) of larger cylinder = 220 cm
Radius (R) of larger cylinder =
= 12 cm
Height (h) of smaller cylinder = 60 cm
Radius (r) of smaller cylinder = 8 cm
Total volume = Volume (Larger cylinder) + Volume (Smaller cylinder)
= π(R)2H + π(r)2h
= Ï€ (12)2 × 220 + Ï€ (8)2 × 60
= Ï€ [(144 × 220 )+ (64 × 60)]
= π [31680+ 3840]
= 35520 × 3.14
= 111532.8 cm3
Mass of 1 cm3 iron = 8 g
Mass of 111532.8 cm3 iron = 111532.8 × 8
= 892262.4 g
= 892.262 kg
Question 7.A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.
Answer:![](data:image/png;base64,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)
Radius (r) of hemispherical part = Radius (r) of conical part = 60 cm
Height (h) of conical part of solid = 120 cm
Height (H) of cylinder = 180 cm
Radius (r) of cylinder = 60 cm
Volume of water left = Volume of cylinder - Volume of solid
= Volume of cylinder – (Volume of cone + Volume of hemisphere)
= Ï€r2H– (
r2h +
r3)
= [Ï€ (60)2 (180) ]– [
(60)2 × 120 +
(60)3]
= 648000 π - ( 144000 π + 144000 π )
= 648000 π - 288000 π
= 360000Ï€
= 1131428.57 cm3
= 1.131 m3(approx)
Question 8.A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be 345 cm3. Check whether she is correct, taking the above as the inside measurements, and π = 3.14
Answer:![](data:image/png;base64,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)
Given:
Height (h) of cylindrical part = 8 cm
Radius (r2) of cylindrical part =
= 1 cm
Radius (r1) spherical part =
= 4.25 cm
Volume of vessel = Volume of sphere + Volume of cylinder
=
(r1)3 + π(r2)2h
=
(4.25)3 + π (1)2 (8)
=(
× 3.14 × 76.765625 )+ (8 × 3.14)
= 321.392 + 25.12
= 346.512
= 346.51 cm3
Hence,
From the result we can conclude that she is wrong
A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π.
Answer:
Given:
Height (h) of conical part = Radius(r) of conical part = 1 cm
Radius(r) of hemispherical part = Radius of conical part (r) = 1 cm
Volume of solid = Volume of conical part + Volume of hemispherical part
= πr2h +
Ï€r3
= (1)2 (1) +
(1)3
= π cm3
Hence, Volume of the solid = π cm3
Question 2.
Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminum sheet. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same)
Answer:
Height (h1) of each conical part = 2 cm
Height (h2) of cylindrical part = 12 - 2 × Height of conical part
= 12 - 2 ×2
= 8 cm
Radius (r) of cylindrical part = cm
Radius of conical part = cm
Volume of air present in the model = Volume of cylinder + 2 × Volume of cones
volume of cylinder = Î r2h
Volume of air present in the model = πr2h2 + 2 x r2h1
Volume of air present in the model = π ()2 (8) 2 x
(
)2 (2)
= 18Ï€ + 3Ï€
= 21Ï€
= 21 × 22/7= 3 × 22
= 66cm3
Hence, volume of air contained in the model that Rachel made = 66cm3
Question 3.
A gulabjamun contains sugar syrup up to about30% of its volume. Find approximately how much syrup would be found in 45 gulabjamun each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm (see Fig. 13.15)
Answer:
Radius (r) of cylindrical part == 1.4 cm
Radius (R) of hemispherical part == 1.4 cm
Length of each hemispherical part = 1.4 cm
The radius of hemispherical part = 1.4 cm
Length (h) of cylindrical part = 5 - 2 × Length of hemispherical part
= 5 -( 2 × 1.4 )
= 5 - 2.8
= 2.2 cm
The volume of one gulabjamun = Vol. of cylindrical part + 2 × Vol. of hemispherical part
= (Ï€r2h )+ (2 × Ï€R3)
= (Ï€r2h) + (R3)
= [Ï€ × (1.4)2 × 2.2] +[ (1.4)3]
=
=
= 13.552 + 11.498
= 25.05 cm3
Volume of 45 gulabjamun = 45 × 25.05
= 1,127.25 cm3
The volume of sugar syrup = 30% of the volume
= × 1127.25
= 338.17 cm3
= 338 cm3(approx)
Question 4.
A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are 15 cm by 10 cm by3.5 cm. The radius of each of the depressions is 0.5cm and the depth is 1.4 cm. Find the volume of wood in the entire stand (see Fig. 13.16)
Answer:
Given:
Depth (h) of each conical depression = 1.4 cm
Radius (r) of each conical depression = 0.5 cm
Volume of wood = Volume of cuboid - 4 × Volume of cones
= lbh – 4 × r2h
= 15 × 10 × 3.5 – 4 × ×
× (
)2 × 1.4
= 525 – 1.47
= 523.53 cm3
Hence,
The volume of wood in the entire stand= 523.53 cm3
Question 5.
A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.
Answer:
.................LEAD SHOTS EACH OF DIAMETER = 0.5 CM
When lead shots are dropped in the Vessel, the same amount of water will come out of the vessel as the Total Volume Of Lead Shots.
Height (h) of conical vessel = 8 cm
Radius (r1) of conical vessel = 5 cm
Radius (r2) of lead shots = 0.5 cm
Volume of water = Volume of Vessel
Let n number of lead shots were dropped in the vessel
Volume of water spilled = Volume of dropped lead shots
Hence, the number of lead shots dropped in the vessel is 100.
Question 6.
A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that 1 cm3 of iron has approximately 8gm mass. (Use π = 3.14)
Answer:
Given:
Height (H) of larger cylinder = 220 cm
Radius (R) of larger cylinder = = 12 cm
Height (h) of smaller cylinder = 60 cm
Radius (r) of smaller cylinder = 8 cm
Total volume = Volume (Larger cylinder) + Volume (Smaller cylinder)
= π(R)2H + π(r)2h
= Ï€ (12)2 × 220 + Ï€ (8)2 × 60
= Ï€ [(144 × 220 )+ (64 × 60)]
= π [31680+ 3840]
= 35520 × 3.14
= 111532.8 cm3
Mass of 1 cm3 iron = 8 g
Mass of 111532.8 cm3 iron = 111532.8 × 8
= 892262.4 g
= 892.262 kg
Question 7.
A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.
Answer:
Radius (r) of hemispherical part = Radius (r) of conical part = 60 cm
Height (h) of conical part of solid = 120 cm
Height (H) of cylinder = 180 cm
Radius (r) of cylinder = 60 cm
Volume of water left = Volume of cylinder - Volume of solid
= Volume of cylinder – (Volume of cone + Volume of hemisphere)
= Ï€r2H– (r2h +
r3)
= [Ï€ (60)2 (180) ]– [ (60)2 × 120 +
(60)3]
= 648000 π - ( 144000 π + 144000 π )
= 648000 π - 288000 π
= 360000Ï€
= 1131428.57 cm3
= 1.131 m3(approx)
Question 8.
A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be 345 cm3. Check whether she is correct, taking the above as the inside measurements, and π = 3.14
Answer:
Given:
Height (h) of cylindrical part = 8 cm
Radius (r2) of cylindrical part = = 1 cm
Radius (r1) spherical part = = 4.25 cm
Volume of vessel = Volume of sphere + Volume of cylinder
= (r1)3 + π(r2)2h
= (4.25)3 + π (1)2 (8)
=( × 3.14 × 76.765625 )+ (8 × 3.14)
= 321.392 + 25.12
= 346.512
= 346.51 cm3
Hence,
From the result we can conclude that she is wrong
Exercise 13.3
Question 1.A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder
Answer:To find: Height of the cylinder (h)
Given:
Radius (r1) of sphere = 4.2 cm
Radius (r2) of cylinder = 6 cm
Let the height of the cylinder be h.
The object formed by recasting the sphere will be the same in volume.
Volume of sphere = Volume of cylinder
![](data:image/png;base64,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)
Hence, the height of the cylinder = 2.74 cm
Question 2.Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.
Answer:![](data:image/png;base64,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)
Radius (r1) of 1st sphere = 6 cm
Radius (r2) of 2nd sphere = 8 cm
Radius (r3) of 3rd sphere = 10 cm
Let the radius of the resulting sphere be r.
The object formed by recasting these spheres will be the same in volume as the sum of the volumes of these spheres.
The volume of 3 spheres = Volume of resulting sphere
![](data:image/png;base64,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)
[r13 + r23 + r33] =
r3
[63 + 83 + 103] =
r3
r3 = 216 + 512 + 1000
r3 = 1728
r = 12 cm
Hence, the radius of the resulting sphere, r = 12 cm.
Question 3.A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform.
Answer:The diagram for the situation is as follows:
![](data:image/png;base64,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)
![](data:image/png;base64,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)
As per the question,
The shape of the well will be cylindrical
Depth (h) of well = 20 m
Radius (r) of circular end of well =![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAAhCAMAAAAieUHKAAAAAXNSR0IArs4c6QAAADlQTFRFAAAAAAAAAAA6AGa2OgA6OpDbZgAAZgA6Zrb/kDoAkDo6kGaQkNv/25A62////7Zm/9uQ//+2///bgd/UBAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAUklEQVQoU2NgQANCnIxAwMwgxM3HIMTFA5blZwZTxHHRDcTBB9kCBESqRlImyAZyHoMgOw8DPxPEfQIsEJqXFdm5vBBXgxzPz8EA0sbIyIHLPgA3twIog8IFlQAAAABJRU5ErkJggg==)
Area of platform = Length × Breadth = 22 × 14 m2
Let height of the platform = H
Volume of soil dug from the well would be equal to the volume of soil that is scattered on the platform.
Volume of soil from well = Volume of soil used to make such platform
Ï€r2h = Area × Height
Ï€ × (
)2 × 20 = 22 × 14 × H
H =
×
× ![](data:image/png;base64,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)
= 2.5 m
Hence, the height of the platform = 2.5 m
Question 4.A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment.
Answer:![](data:image/png;base64,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)
The shape of the well will be cylindrical.
Depth (h1) of well = 14 m
Radius (r) of the circular end of well = 3/2 m
Width of embankment = 4 m
As per the question,
Our embankment will be in a cylindrical shape having outer radius (R)as 11/2 m and inner radius (r) = 3/2 m
Let the height of embankment be h2
Volume of soil dug from well = Volume of earth used to form embankment
Ï€r2 × h1 = Ï€ × (R2 – r2) × h2
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAaAAAABHCAYAAABBAJPXAAAVzUlEQVR4Xu2dBxAtNRmFDypiVyxPRqyIBcUCKhYQBexiQRF7Q6TYsAwgdkUQe6OIiooigiJNsGBBrCiCvYwNy1PsWJBin29MmGVn795skt3N3v0z8+bBu5tscpLNSf66jqwYAoaAIWAIGAIjILDOCO+0VxoChoAhYAgYAjICskXQhMD6kjaRdJGk70q62GAyBAwBQyA3AkZAuRGddnuXkbS7pCtKOkvSlpKeKOkNkg6T9N9pD896bwgYAiUhYARU0myM3xfI5hxJn6t05eGSjpX0BEnvG7+L1gNDwBBYFQSMgFZlJtPHcVlJJ0o6Q9KrJf3TNXkldxu6QNJdKv+e/kZrwRAwBGaNgBHQrKf/UoNfT9LZkm4k6WaSzq38+hlJt5S0qaQ/GWSGgCFgCORAwAgoB4rL2wDn60j63fJHk5+4uqR/SLowoqXbSKL+Fyp1r+BuQP+SdCfXdkTTVqVABFiXN5CE7q9e0PetlfTvAvu9al1CyrBmwaD4jn+7agP24zEC6n9mWVwHS2IDR8Hf9we9k6R9JfH3jzIMbwtJX3Rtvi5De9ZEOQhgbPItSRs3dOk37sb7x3K6u7I92VrS6QtGd5wk9LArWYyA+p1WbhPHOCJ47oD6kx0kvdYt3G8mDHFdScdLOl/S4wfsf0KXrWoHBDwBfV3SSbV6HJhOcKb4HZq0RyMQ2FDSNg31nuluoUZAEaDOvQrkw+kFq7I9Rti8HyXpAEkPlvSdyMl4jqStnAXc3yPbsGrlIuAJ6D2S9i+3m7Pt2YfdyI2AZrsE4gbOzQGTZRw6uY1gQTZGgUCeJWlbR4Rd+vAISXeXtJc5onaBbVLPGgGVPV1GQGXPT5G9Q6z5SkmPkXRXScjSxyoQ4Xsl3UTSdpJCbzEQD38wx/Y6qztI+rYZIYw1lb281wioF1izNWoElA3K+TT0QEkfkLSjpFMLGPYGkr7sfHy4ES2LZoAlHErRQyX9p9L/PSvGFAUMy7qQAQEjoAwg9tiEEVCP4K5i02z2OHJCPLsFbPZDYfAwSUc5fVAbKXJTOtxFQvBExY3uKpIwx37GUB229wyCgBHQIDBHv8QIKBq6+VVkoyZe2oMkIa76dUEQEOUAgwgcTBEL/qWhb4jrPinpHgv6/SJTVBc0o3m6YgSUB8e+WjEC6gvZFWwXJ01iqL1U0msSxodT4CMl3ULS5SRdzTmpvVPSpxLavb1zMD3Q6agSmrKqK4JATgIiUgZ+Yo+T9OcaPqxpdKIcbpASXFPSjyW9UdI3FmDZ1l6J8PN9PU3Sec7nDyvYN7lxxvbXCCgWuZnV4wPDj4JQNZsnhKvhFvVsSZ+X9LUKhljSfdCRG6bVMYW2j5B0f0mbOf+CmHaszuogkEpABKi9uTsg3duJafkGqs6rfBsvkIQ/2slOLH15Sa9yGzbrHckBJaS9EtHH5eEVkh5QIZzbOl0wv2G8E1OMgGJQm2EdxFrcfliE+yWMn1sP5HO0JBxXcQak+HA4N5SEkcDPIt/BLY32Sa/ApmBl3gikEhCnfm47v5D0IUl3a4iegPUl8QXfVYMaEsL7H8IiyC15p0LaK23GbiXpS5L2qRCp7+Pr3WHvvpF+gEZApc12of3B6o3TDx8QjqexhQ8Ri7VfSuIE5UUZiOL49zs6x1BC48QUTqOI8RBv3E7S72MasTorg0AqAVWBYLNsIiBExzd2oZzOrCH3PCe2I2rH3rXfFrVXGvjc3nZ133496ggWsdz6OKBinNS1GAF1RWyGz2M5hhwb6zKcN1MKREPIm1/VTLixQmNxX1sSJy5+jy3I6HGS3cVZvMW2Y/Wmj8AQBPQRSdtLeruzDK2i9lAX6qkp3tkUCAjDna868kE6wcGxWoij+BVJL5f0sojlYgQUAdrcqnByw2GTcBl8SH0UTlBc81HaIppLKdeV9ANHaIhH+g6OmtJXq9svAkMQEBahHHbeIun7teGQAJEwQDhL89/VMgUCqgZzbSIgxOUEe/2oJG5DXYsRUFfEZvY8NxZ0Khu5m0kfkYOvIYlTJJGtnx6ZZqE+LYgF7uXk0/VNYWZTOOvhDkFAbQCjN8JhGz81gt5OjYAQaZO6hANiEwEhkifQK7ckxJNdD3tGQLP+PJcPfhO3wNCrIGbIVfDbeZKTnZNWgRMityxvlJD6HmTWyK6JE/fW1Mas/mQRGJOAsJ5DJ4TxDgTkM/B6MKdwA6KvuDVggIC4ra7jQiSP9SrBgNHfXtxxpRgBdQRsbo8T5foQSYRNP6inwaP/wWSVU9ZTnOgs9VW3dnorMp3er6CIDanjsvrdEBiLgDhgEZkDEmL9NSVcmwoBkdAPlwniP1YPc7g9YBWLAzdm2BAQiSK7FCOgLmjN8Fl8f4h8cGd3ze4LApLacY0nqypX+Z8kvujKLv02Tq6QkaXZTgR0otXHIiBiEmJsg+XoomC9UyEgph5xNibXGPhANpAPkgu+K4yT0N8S3LcaWzFkyRgBhaA002f8Js4NBWVj35s4Bgg47RGrDaVuajnRxYaD0DDxXrUCWZuZefusjkFA5Kdi/SJibvtmpkRAoHw9R6roeUi/cpqLZIIRArouCKlrGZqACELMfoDeGd8upDu9FsuIGg8vcdW+5+S+JG3rerppejOnpPs4/cza2gNe3IfJN/Lmusy860gQDeA0i2FD7wuta+cqz8eEZMHyirAweOfn0pslDKHYqkMTEN8JYabQmVRzZBGap05GUyOgpknGAfXjjmyJQtK1DE1AWzr/QET+R7q9oWufOz1vBNQJrks9TEgbzCuRZT82vplLaq7nZMl4hjeZW0MU6JkQxbFQUjdWzMaPXWACm2E4SU2khGRBXInYAzzRm6XilDSQwisPSUBICR7twklVD09ERGBts+arZUoEtMbFgKsfCvH/QT/MNx0TnHhoAgJ/olZwsOYb9O/vbRkbAcVDixybkDa5okSjmMWkk8WKT0Tdp+htzpGPQKecIFMLYXkgM6IqcPXOcYNL7ZOvnxKSBUMNAsKi2DYCap+RoQiISAjEM+QAVd+kN5Z0T0lETJgiASGN4LvlIIpY0RewxQkVF4oXRn4YYxAQzsHvd/tQSlSXoCH3SUCEknmHpG1GTEldBcGHngk5iWDfT+ReTEQX2e5zpeaUQJRfQvHkKMiJ0S29u9YYERDwJ0BsAVk0WQ11fT8ya3yLiKrAhp+SNjw3trEbEWsOnyzMy6+6ogSUE+ucBMRGi/6ASB3V9Yku7hRnQNP0LaFvwFwZnUm1LGqv6zrv+3nE5p92hx5EV74QZghxOsQb+221EVDOdVDFiESUGFXxJ1XMvxT7PgkIJ002Zk7ZxHoauxBBgJsForM2EoJ8OEHjuQwJLUpjjWwXGS96hpQ0CVVcmI8nOwdRLOywqLm+y8ODqGLnxFhz1XdhAUf7hI0nCGoKqeXGNoaACNgK8WCNRF6jVSWgnFinEhB4owu9losCzzf/UyfCIaHhS1xm3TYRNSJSzLE5bYe097exN5La+/kuEbWd5aQJfFdPdWGzMBqqp6bo0v02Asq5DnyfCC3Ere3sTIZOS8faJwHxcsK+sFEjB+WamlI2dI6Zy9rgAzi34SFPLFwxF5FQyDM07cVlBA/lJIKlS87CLQhyQ25+vosazAJflk67Sx/QkdAmZthsANyGYksIbiHPNL0/VBeAWS9RKYgUjn9TqQRU0jpOJaDY9bJq9Vjb3P68bpY9j+jeqaWNgEK+p5Bnqn0kriVOsxx0P+EMRiBYeAJn+BQybcQilID4aGDHmMImzdWUvBiwa9dCH/dyjl7L+sBpaveWIJttE9Jlsjhtc0ogEgInQJJrTa1UI2zjJAcZpZRc2Nb7EEJAECiWb14U2oWA6De3TP6OLejPsFps06OVuI6NgGJnfJh6y3RAub85DJPQ/7CHQjzHuOzJSGW41eHvFCtOjCYg/FwIJc5JOaWQBporKbqTLid5nLvQUaDwx2kN0RinXMRHnHIRq3WJQtA0aV3IBwywtOLWc9MFMaBScBqyLhs1Ojqv70p9dw5suxIQH8qeLvukl1l3ISCMPvjQudXGFoiHj7ct8ViJ69gIKHbGh6m3jIDoRc5vDkMnDCl2c/u0HyV6PW50TeGGkpAIvQElvcRV5npHUiriIWEVEnLiJsAfHzapbT1pkUiN/4eJEVGxgXQ1AvCThlMchAbgbaK5+viReXNVXd+RUEx6hC4kHIJ/zFzmJqDqBxGLbVcCwrSXtfTDSsUuBBSCbeozpa7jLgSUe72mYurrx6z72HfnxmBZ30MIKNc35/U/pJQgNl/VYASDBC4h2SO+LAMgdqIW1fO54Z8vCWXiCY5pF4Xj4HQLEB4MFOYoNrEwoaDcBDCs1boWT0LkcUd8gl5oUT8WERD/Xk9B3LUfYz7vCYh4XMh8c5UUbLsQEDdQTK1xmquW0gio1HXchYByrY0h2sHsGzFS7P5GbDeiF4xdQgmoSkIx+xn1sR7lBo+4jQCq1YLkij0bKVjWiP+xExQ7MWxMD3FWZhdKIhwM+UBCN37q4jXtzZQPdlEDYowAGPuLXX4dLHBiCIg2sk9KLLgR9fq4AdGNFGxDCQgdFgcRHBjrQR5LI6D6mEpZx6tKQNw42Yhj9zdu1PVNOOLzSq7ShYBSvzlM4UlUyX5WjTVJuxxOuQQQuy/rLTB2gmKQJWosWREhITZ+zLO7FPrKhFDXW5gADCK5EHFe9V1+sgCdYKIsVsypQ0kIKzVIj1NDUx6QLuMa89k+CCgV21ACwuqICMQ/bwAQ/wtuHUSqQD+D824peY9KWserSkBjflM53x1KQDm+OfQ/6Hjq/j8Y6LDfomflspC1hBAQdu2YFRJuIqWw2ElLi8dzDIviq4KFBo6Y6H+8FRf6JEKvhJbqZMHoiPAgRfJ6hJIQYyFFNhZwhK4gcN/UCvgRpZeICLmUizmwDSWgRXj7dcHvIZEQOPHhIoBDZGz5q1uXrIllpbR1zEGKjWX/ZR233wdHIISAcnxzXv/DpQDRZbVwOD/AqRpQVWDVzDpHgpVcQgiIl6SYYWMoQJ4M9DWEfYktOBgifkNGSfEbzdHO+TCk3abJ8vW6kFDVhBnv+zbrp5B+jfEMNwRk3cwP5uSk6U4pubCt9yHEDLtapysBMe+s7xQrOMQTGKKEhDMqaR3bDShlxfdfdxkB5frm0KVyy8GiGNNrX/gmkJL8wRmD8T5uQqRXD1nrSxEKJaClDS14AEdUvNLx2k2JFrCBC0WDQysBNCn0HXC4TWGfvgwQnue2ROgcnDy5+dQLmxFRG7YNEMcRfoPnuJHhADm1ggk7xIlFHze5UD1c0zhzY1t9R9eQLGyqiGQxyeZ21zUJWJ/zWNo6HpuAVj1lRur42ggo5zdHhHLcY+r6H/wdib6PHye/4y+IRIx9N0vpk4BgT5RaMGvq9Z7bE8Tg4x/5wXM1xMEVPyHEIG2FiLv8Qc/TpDfwdT0J4dW8XUsoHsSBkBl6JE+KOSbFWwrim8OGxa0PR1eU7SyGXIW2iX5AzhxucURciC25sY0JyYIuDgtJRGmsBwo3PMZFZsoSxKSlreMxCWjVU2bkGF8bAeX85nBr8ZEc6vHfCLbMIZVDNuTT1Y+zdU/pk4DY1PD7IdJtyubGAPhQ8Lmpx3Dj3zHNDjm9b+6eCw1Gij6IW86icP7cplCCExWbCcxRIB+MKpCxnuxud4jKOIEgi8Uc8rAcL3KiN+T/sdkaq93IjW2mIRbXTGnreCwCWvWUGbnG10ZAOb85Dm3sPYsSBGLWjpi5SWqU9JH1SUBJHZtAZZ9PB5IlBUCOwo0LowbarBZI6HSnCEQJmCPOFL4/H3NOvNzkrMwPgbEIaNVTZuQa3zId0ORXrBFQ/BSivOcG8VmnC4qx7Ku/HQtBThv7ukyr1d/xeSHLJ6LIveO7fUlN9HIoxGmXMEdW5ofAGAS06ikzco7PCGh+32TwiH06A4iHRbdMBxXSMAr37Z2/FOGBqoVQQce7RHXcvlIL1oMoHzHgQNRoZX4IDE1Aq54yI/f4jIDm900Gj5jbI/5ROD3mMsVGcbmLM3OsO05iIom/BmHR+e+UgkgPm39uW5hgN6WvSGnf6k4DgaEJaCopM2JnL/f4jIBiZ2Im9RCVYYkHIUAMfRZiU+3oAgVyE0opPu8HWVaxtluU9TXlHVa3fASGJKCUlBnlI/n/nFqxKUEWjc8IaAozP2If8TPhJoE4i6jMfRUW95ku6CqRalNT5WI6TqwrMr9iomxlnggMRUCpKTNKn52+xmcEVPrMj9w/PmB8TZD9bpZJD1QfEv5UR7mspViupaTO9m0TzJX8NFjUdY2jNzLk9vqMCAxFQFNImZECa1/jMwJKmZWZ1MWSDIsy/J0wlc5d8DNCtkzcuhB/p2Xvx+YfPyPCqhMrjfxMVuaJwBAENJWUGbEroM/xGQHFzsqM6uF1j3js8IZAfqkwkNQNowSyFC5yEuv6DqzssLYz8+uuyK3e830T0JRTZoTMdt/jMwIKmYWZP8MiJN7dxs4a7rxMeGzlzKT3qeVhJzRPChmxqEnDjciwLSRRpmFYMwUj0DcBTTVlRuiU9T0+I6DQmZj5czs4/5ydK8nyUiDByRW5MkYCVYMDlJ3EgCIuXEyBJNH5YFHHzcrKvBHom4AWods1YvnUZinX+IyApjbzI/UXIwRyyuAbRBDTixL6gW8OhHZQg7UbBIKuiYgJMYUoCuT7yBXOJ6YPVqccBIyA+pkLI6BAXC0UTyBQAY+RWfUkSTsl5JMnfPspkvi7yTcHAwJMqE8L6E/9EaJFc/shcvceEfWtyuohMBYBlZwyI8cs5xqf3YByzMZM2uDUc4ILJop1WUwE8CNd4r5FkBGZG5+gcyIwfbMT65HTo4TUBBFDsCqZERiagKaQMiMF4tzjMwJKmY0Z1iWsDVlfSZ+AuKuUgoc2JuJYvuVK51DK2Kwf8QgMTUDxPZ1nTSOgec570qjRsRCeB11QPZ5bUsORlX1uEqzzckRRiOyGVSsQASOgAiel0iUjoLLnp8jereviwm0oicgFF4zcS7KE7uoMD9aO3Bd7fVkIGAGVNR/13hgBlT0/xfYOY4FTJZ0haU+X2XSMzuJ0ioMs6Ruw0rNiCFQRMAIqez0YAZU9P0X3DnNqSOjQBL+dlAFuIYkFjCMrseSsGAJ1BIyAyl4TRkBlz0/xvdvImVUfKOmIAXuLIyspG/Yb+L0DDtFelQEBT0BYbx5ca49Ei4hsLVVHBqCXNIGedk3DM4dIutBJMPrvxQhvMD+g/kHnJkTqAwiIBZUjdXdbr0kRgTk3Nx82FiuGwCIEPAHh4FwvBL7d1AWtNQT7RWDrlkDGxxkB9Qu+tW4IGAKGgCEwQwTsBjTDSbchGwKGgCFQAgJGQCXMgvXBEDAEDIEZImAENMNJtyEbAoaAIVACAkZAJcyC9cEQMAQMgRkiYAQ0w0m3IRsChoAhUAIC/wMaGHaTM2KGOAAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
⇒ 31.5 = 28 h
![](data:image/png;base64,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)
⇒ h = 1.125 m
Question 5.A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream. The ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream.
Answer:![](data:image/png;base64,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)
Height (H) of cylindrical container = 15 cm
Radius (r1) of circular end of container =
= 6 cm
Radius (r2) of circular end of ice-cream cone =
= 3 cm
Height (h) of conical part of ice-cream cone = 12 cm
Let n cones be filled with ice-cream of the container
Volume of ice-cream in cylinder = n × (Volume of 1 ice-cream cone + Volume of hemispherical shape on the top)
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAaEAAABtCAYAAAAI9d65AAAf/klEQVR4Xu2dCfx/1ZjHP8aMmMiSIkJCkQkZOzVRY41R2YmQiJKlprGlqSnZGRUyRaMoS9laCFNCyZJIUcjWpLIvkxIzr/er5zS3627n3nPX7/O8Xr/Xv1+/e88953Oec55znvU6cnIEHAFHwBFwBEZC4Dojfdc/6wg4Ao6AI+AIyIWQM4EjMH8EbirpLpL+IOlbkq6Y/5B8BKuCgAuhVZlpH+cSEfgrSc+TdANJX5X0QEnPkPQmSe+U9L9LHLSPaVkIuBBa1nz6aFYLAQTOhZI+lxn29pI+JOnpkt67WnD4aOeIgAuhOc7a/Pv8N5LuJYmTfBv6k6SvSLqqzcsLeee6kj4q6QxJr5X0RxvX39qt6H8k3S/z/4ca9hqS/knS9ST9xL5/I0k3l3SxpM9YR7aQdFtJv5T0K0mM5zaS/izpI5IuH6rD/p1xEXAhNC7+q/r1NSU9VtK6kl4uiU1qD9uMijB5mKSnSfqSpKMkXWob1SrbPtjsvybpdpLuZBt8wO6zku4s6e8k/WJgJqNfD5e0jqR9Ja0n6Q2Szpb0bTs80CUEJP1+sqRHSPq03dwQSCeOIDwHhsk/FxBwIeS8MCYCNzND+iWS7iPpypLOvF/SkyQ9QNLpY3bYvs0pn5N7n6d17Dzcbqpue5tKurGkz2cwub7dhHjv3hWY9g3j2ja3P7NbL04TRfRBSY+b0Nz2jYu3n0PAhZCzxJgIPEjSaZIOk7RTSUdQL6F647bEpstJeUxaX9LbJO0l6fweO4K6cjdJL468zSDMvyDpZXYD6bGLlU2jbjvVbq7cYosoqA5vOJG5HQurlf6uC6GVnv7RB48qbn9JT5HEbaeI7irp66auQW1TR3eXdJmk/6570GxS/2CGfexMdXQLScdKer6pl+qe7/p3xvtSuyk0Eb7Y2o6T9DtJO1SotPrEKIz5lZL2MzUqKtQUc9sVT39/ggi4EJrgpKxIl+C9T0rixIzt4rsl436mpMMl7dnwZP8Sc1NmA68SRDhFvFrSoyQhiH5fgzun9uMlvU/SuwacI25cm9UIldAdbk3cLvGMqxpPXxiFfjC3J1tf7lZxY6SfR0TM7YCw+6eGQsCF0FBI+3fyCAR7EE4GVbaLYA+6v3mC1SEZhAuOD2WCqMkz+e/8m/Vzm5IbBmsJ28YG5rWGqg4j/eMl3cRcqU9oEbuDbQi11nskHVIxeL6zuW3odQ4bTcbf5Jmy7oS55UaKerDMHnSkpKdKajq3dXPvf58hAi6EZjhpC+lysAdxy3l2yZiy9iBuS79uOPaqDbTN5rqJGf8fbfaWom480rz26CO3gG0lPdg8vrAjseGixkOgxBLfxW52T3N7zr+P8OEHV+2gVvx7Sd+scExIjVG2T2FuEZzcZIsoOFCsZTfhpnMbi50/P3EEXAhNfIIW3L2m9qBzzGWXTT6GijbZNgKIbyIocSdGqBR5q+EphxPBWyTd2tRPxMPg0Ue8Dio8biq8n/VkazoebkO4p6O+RC2ZJZw1UGm+3WJswt92l3RwjXddSoyyfQpzS39/UDJIUg1tZwI7dm6b4ubPzQABF0IzmKQFdrGpPehZdgMghuiNLXAIm+xjzPbzXItPqrMXZT9FHM43JLGpc7IvottLuq+koyVtbRtr1p2cm9CtJJ3ZYgzhlb0l7SIJGwtqLojvckMiY0JI0QO2eJtx09i1wfdSYJT9THZuq+xBwdbXdm4bDM0fmQMCLoTmMEvL62NTe1CIIeliMwibLKowIvgRQD+NgJT3Xm8uxN8veQ+VEvQbSdiOnmjOBHippSLsZggx2v6AJDzhUPvhVFFEeKfhediEumKU/UZTe1Csra/JOPyZGSLgQmiGk7aALjexGWRjSGLsQXl44PFXScIjjDxrMUKId0+ShGs2QiCkximbAjbzUyT93GxCKaeKOCmyDqCWI8tASuqCUb4fTec2xH51mduUGHhbIyHgQmgk4Ff8s8FmQBBjVQxJW3tQgDdsrthjMO5zq/nHCEGEVxt9+KKkJzSYM4TVdyyQlSzWKSm4PZMGB6eDMo+z2G92xSj/vaZzS+wXNzm3B8XO2MKedyG0sAmdwXDC7QI1UpXNoKs9KLu5stH92IJTD4wQRAR1slkSdIlNpo4QcJ8yIUFet9RETA1u4Hjr/TBB4ykwynbD7UEJJmXVmnAhtGozPv548Yqi8Bo5xapiSLrYg4o21zByVGZNBRHCiwBVBOK7G0BHu9yYEF6/bfA8j9xBEramJrV/SMVzgDlBdHFy4LupMMoOs6k9yOODGjLHKjzmQmgVZnlaY3yIpfM/xlyYi3qHof8sC/bEZtAkZU1oB55+haUCIvs2N6A8IYhwNqAvVTai50g61Ow7lBeoomAPoq9441URnmsbS8JbD7dt4n+aJEMN/SEQlzIObSklRtk+NJlbbFvcEnE7j53btuP19yaMgAuhCU/OgrrGpovXGCWocXnmd+JnLrCMz6+xmwBuuwiFDS3LALVliDNB9YStIbgmV0HzAkn80E6VyioIIqqRblWS5uZFkt5spQmIeakislkTHLqPxRWVPYtNB9dpbE2oI1Gv8W8TIYQNjUJ1Vbn2mrBNSoxi55aaQZR5aDO3Tcbmz8wMARdCM5sw724tAtwqcMFumsAUOw6BpUVBqEH9FZKc1n2cDfaiXNBo1Tvc2HaMEEKo+rhBNlUPln07JUZ1mPjfHYFKBFwIOYM4AuUIxKjj2uAYK4T67k+bMfg7jkAnBFwIdYLPX144AsTjkHKnq/qrDKZYIfRCSW817z4qkTo5ArNHwIXQ7KfQB9AjAqTeoUAcJRLIC5eaYoUQZbKpL4RtjVLZTo7A7BFwITT7KfQB9IgAyUjZ7LkN4cmWmmKFEB5xBKq6V1nqmfD2RkPAhdBo0PuHZ4AA+dlIk0PMD67UeHSlpBghRF++bKW+SZKaui8px+VtOQKNEXAh1Bgqf3BFESB7N4XXKDNOTriUFCOE8Lw717I3vC5lJ7wtR2BMBFwIjYm+f3sOCAS70EMt11nKPscIIbJnk7YH92qEkZMjsAgEXAgtYhp9ED0icD0rREdNoZ0Sf6epEGKdHidpTUlkgXBVXOKJ8ObGQ8CF0HjY+5fngwBBou8wh4AmQbBNR/ZqSWRBqMuYsJHVEtreAmubtu/POQKTR8CF0OSnyDs4AQS4DZG253RLH9SlS9RJorYRaYO41awt6ROSrpD0MXOEyLdP6e51LTnqn7p83N91BKaGgAuhqc2I92eqCGwq6eNW/2ZImwxlw8k6TXoh8ug5OQKLQsCF0KKm0wfTMwKozsj1RpZsErD2TRTVO1HSvvZv39/z9h2BwRFwITQ45P7BmSOws5X6JhP1lT2OBbXdIaaiO7bH73jTjsCoCOSFEL+TWn4DY35KFUP3sNora0iiNjx5q5oU4Rp1cP5xR6AnBMiqfamk83pqn2bJjMB6ZL05OQKLRSAvhFAz4P3zaxM0W5oOnDopp1mRMQy0VL08qAYVDK/rmwG2LYC4ov7EXVLbwufvOQKOgCMwbQSyQui6knazRI3kzDpf0kn2/7JuqRQnI4XJ5jXCgfxWH5ZEu20JIYRbKkLQyRFwBBwBR2BhCGSF0O2tdv3RkshNdbKkR0k6ITfmo0xdVyeEhoCKOAsnR8ARcAQcgeER+NcUn8wKobWswd9YKeYnSdrMkjeGb4WEjiR13CVFBzq24UKoI4D+uiPgCDgCLRFILoRCP7DlnGLJGrfNdY46JmdJerzFTLTsu7/mCDgCjoAj4Ahc7X2Tp1tIwituL0nvzP1xT0l7SNqkh4zCPh+OgCPgCDgCK4ZAkRAiMvtT5pZ9dgYPVHGfN4eFHczrDbvQqSWYkfqe5wm4a0uoBreQlO1H27b8PUfAEXAEHIGJIVAkhA40jzTsQb/L9Jffz5T0aPOa21gSP+S7KiLUenjZdfGOI0/WRe6iPTGu8e44Ao6AI5AIgbwQqrIHPVLSYZZJ+BeSdpV0uKTfJ+rLkpoB13UsoHFJ4/KxpEfgxpZ54fL0TY/eoq+D0aegsAOT4rm8EKJzxOTsYwImO4KbWv4qqjquZ8Gr1FhxujYCpFs5WNJVkp4nybMeO4dUIUCZiJdZhuwLFgSVr4PpTuakeK5IHUcZ4TIVGCntUcF9b6AEjtOdxuKeIcSPkcRmQrr+P85tAN7fURDAC/X1pgZfgv3T18EobBT10cnwnCcwjZq3yodZeCSavNBiqFwApcN2FVoiLu8Ay9B9zowH7OtgPpM3CZ5zIZSGYfAcfK8kVJacMIZI85+m597KlBB4saQXWrJgDjNzI18Hc5sxaXSecyHUnWnAkHx6T5F0f0k/7d6kt7CiCLCJ/6ckUmhtNTOnH18H82Ta0XnOhVB3xiG/3vutBAbxVU6OQBcEbmllxD+qq0+pcymZ4uugy6yP++6oPOdCqNvkM3lnWHDvc2e0YXQbtb/dNwLbSXqf2YfmcLDxddA3R/Tf/mg850Ko/eSCHWmNCN6lAFm23EX7Vv1NR+DqAG+cXO5kKl7qe02VfB1MdWbi+jUaz7kQipuo7NP3lvQ5SWTyJnYqBd1Z0hskPU3Sr1I06G3MFgGqGZP2igwm2BynSqnWAYHy2FWpWsvN6maSvivpzZK+PtXBL6xfo/CcC6F2XMSCIV0RhfvuKYkMEm3p6ZI2krSuJPL2Xd/a/XnbBv29RSDA2jxC0iOspAoVhqdGqdYB7bzcckR+wtTaxCS+RtLzJb2oIJny1LBYQn9G4TkXQu1YBy84bkH7StqvXRPXvMXpg1vPj6xs+gNcCHVEdDmvc8s4TdKbbJOe2shSrQM8AW9XkKUFQUSCZA5795P0rakBsMD+DM5zLoTacRHecOTSQ4CkjOegHLoLoXZzssS3uCF8WhJq2rtLumxig0y1Dv7DqjWTvujLuTG+1FTUZJT454mNf4ndGZznXAjFsxExHOio8VqiuF9KciGUEs1ltIV9kEDonSyB8FRGlXIdfFzSNpIOlYSXaZYeK+k4c9TYfiqDX3g/BuU5F0Lx3MRp7LWW5wsPppTkQiglmstoiyKT3zZ7CWqrqSTETbkO8C5FyP67pPNy0/YMSe+xIF7+26l/BAblORdCcRP616aj37Cn6rIuhOLmY1Wexli/tTko5DfpMTDoex1kx/RBCwQnjoUbkdMwCAzGcy6E4ib0LpLOMj096oPU5EKoPaLk7WN+/mAG7CvaNzW5N3c27zDyyr1tAr3rex2EIeI1io0IJyCEkCcFrp/8VOtgMJ5zIVQ/qdkndpF0iKTdJB0U92qjp10INYLpWg9hSKVu0w0kfVXSAyWhtsGjjGDiuaS9qRr5Xc0O+VlJD5/AmPpeB2BB8CRZIxBEjPmSeNZYqTdSr4PBeM6FUByfEhtEhoT7WqnzuLfrn3YhVI9R/gkEDh6KnJYDYcD+kCRisDDqz53WlPQ1SWtJYnPoEpeWAou+1wF9JG/eDuaF6kmB62ct9ToYjOeWLoTIEHsvSZwS2hBG4K9YldQwKTeUtGlPG4ELobhZ4rRMok/y9+EsEtQ1VPXkVkRJDeJLhlLjbGEu9jexuC9uzamIcT7G2j89VaMt2hliHTBOHBV27GmdtRj2pF/pax0MwnNLF0IsGFw8yUZARPaNJO1RkRLnYZYy50uSjpJ0qaSPSMK+QB6vc01H/SBJf+6BLV0IxYG6ht0QCHRkfi7OvI7qivgaAh2HujmgCiSeh0j/IyW9IG44lU+/0gKjaTOlcIvtYt/rgLX1REl75epykcZnqHmMxWTs5/taB4Pw3NKFUGAOGJhoa/TK95F0ZQnXEHxHtUECRvOnTdKnnGB66qf2xHVzEEJEsXPyurwnDLLNYufhFnNVxbe4lVLNkzxrgUh9xE2I94gAL5vvPoaAQOSwgiqQ+UxFQcVIvaG2rsrgQi62PSX9rmXH+lwHzOWTLR9j9vYKzyF86ftUaBXWQQqeq52vVRFCnK5If3KYXfOLgEGFg+qN2xKLIZ9AFB01xm5OB/vXItvugakLofXNO4tT6vnthhj1FqpUnEDAPuYUzEHjC5KIwCch7JDEzZtbNDewlNk0EKZn2rhQ+7W5ia8t6TNWMK9tbsK+1sEGVpUYh5+8+vSOkraURGaFKdCqrIMUPFc7X6sihFDFITjI0sttp4iCNwhpUjjt5Ylkkpxuq9qoBbzmASLHuYVt0tIbKKR2aVJWAjsZGYsx6DcJgCSAjeBcEkqe3XWgEe8zF6RueVzDzOLYAYkn4aSPYbvMHtQXVm83xxWcV1Laom4l6QJJF1m6qDYl5FMIoT7WwTqSjpfEv0W8iI2N7CT/1ZBv+ppbPr+0dVAFaQqeq52yVRBCjPGTkjg9cjolPXwRPdMSKKKqKDo9nyQJmxGZrhFUqYjYD/TsbBBk5CYQ8Pum0sG9eG9Jv234sZeYqoaNu0oQIYAoQUE1TATR72va55bIJoHL7Lsa9iXlY9y8NqsRKuF7nNS5+XJgqBpXH1ghALEn4smGYT0l4Rn3TVM9btzykJJCCPWxDrCfVam4Uaviqt30ZtnH3DKXS1wHVTyagudq18AqCKFgD8LJoMo+EOxBZAbG2ypL2ECwOeBpxSnrG7XIjvNAEC6ohMoEUZNn8r2nng3YEaBbdLqHj7ipoFLBowZVHcZSTq+cYtk8sKe1jdnBNkQ2ZdK3VBnl+d7mZvOoC1ZtgkOTZ7JYkU/tHEnPsoMPBnZsB+CDLadLjSjwxM7FjZ0NmVtRLHUVQr4OlrcOqngoBc/V8ugqCKFgDzpc0rNLEMnag7gt5StZYtDldEukOLeWsttULeADPFC1ccZuqnQX1SACmPgo7CxFREZxhDy4nWy6/QdbjA76c066qPEQJG2J72PT47ZYVFsH4cMPrtpBpUNOMm4PZY4JqbHCkIs9iOBZhM8xhgm37OdY6p02ajQw44aMswx2Mn4QSLHUVQj5OljmOijjoxQ8V8ujqyCEmtqDOMGeaMFxeeAQUtx+7iDptpJ+XIvsuA8Uba5tBBCjQHgjeBEqRV5qnI5xHniLpFvbLQjjN16GbLio8Lih8H7Wgy0WIW5DqLpQraIyzRKOJKhbscdkDfa7Szq4xrsuJVbvsNgWMkFjOwmEIMc7E4eJfKmCGBxwOwfHYMuLeZdnuwohXwfLXQdlvNSV52p5dOlCqKk9CPUJp2xiiN5YgBqLFyFFXiYEEcbhWGqriir7Tt3chc2VwD9sP2yMVWq6ou/gbozwZTNHFVZEqKAwwh9tJ31uQlkXd25CGDjx7OpK2MdIGXO3TG0dvs/c4WARMAYbgoo5ue/a4KMpsAr2IA4o5DnLGtjBBxVv10wbXTeErkLI18Gy10HRUunKc7XLr24jq21g4g80tQeFTL1F9qBwgkQIQajr2rq3Dg1X2FxRhaHCwk4UkwKF9ygmxk0DZ4kiwngJ/UYStiPsIDgRtI1DqcIouIzyjQ9IYuNH6HEzKKIYd/quWJFZHdUfqjf6liXKU/+L2XO68E7YEMilxo0wT7e0A0NZhhCEMtihJiTRaxEhyEmSWnTQCkLI18FfIreUdZAfWR3Pdd7Tli6Egj2IUzybQxGFFC+cnIvsQbwTFh94YRjuspF0nrSIBujvqyThLYRzQIwQ4l08oXBJZfOvczdm4zvFsNk2oo8xjxLDhXs4ajmCGlNSF6zoBypH8tTBH9/LdCzcxrkZYTvrciOuO5WSGQTVKPaoImoihLCfodYs8q70dbD8dVAmhNqqgGvX6NKFULAHUSkQg3ERsWlU2YN4h/Q/qKU47c7BJkSfw6bK5ohRn1sN7uVNBRFebeDyRUlPqOWkq4XVdyzdCtmr+yDGxM1nPUk4HZSd5mO/3RUrvoc9CJtPPj4IdST2oCqVZtP+1gmhuna6quN8HdQhPO91UDS6rjxXi9iShVA4ySPBsSGURfjX2YMAEaM4J3AM9NhJflSL7LgPZDdVTt/YKbipHBghiHBFp4z5fharVDciBBwlzxEOeBL2RRj8cQfH2P/DBB9JgVWwB2H3wjMuSwj/A+yWjUoUN394KTbtEZ5KHAi4lbZ1cOgqhHwd1DPcXNdB0chS8FwtYksWQjgRcAL9mS3aslNznT0IELOuigg0dP9TpaJNNfQ1RhAhvAhQRUi/u8FgEXDcmBBeTYJr2xbfIhUPm3pXIz9DSoUVzirwGjndsLcEwnOQkyQ8iPs23+NGRBnr2LQ7qNhIK4V9jlABSn7HUlch5OugHvE5roOyUaXguVrEliyEHmJ5stgUcBcuIoyJVEolKAt7UFUwIW7HtIkrMHnopkjM5ysstRDZHYpcyRFEOBswlirVHHEth1rMD5nEqyjYg8APb7y6Z7sUoQv9wtOPwNi2lBIrjP3c0PL2IGww3CbJqs3fie+B5xBMsYQ9jMMPgoQbeYyDSfhWVyFEO74Oymdujuugig9T8Fwtny9NCLHo8dDipIjajN+JVSG6nOA+NgMMwzgpsAFj48H2wan0B6bewY50WQFy2JTIG4eNhYJpqQjGZRMjFQsnTTYpDMwka4xND0SmYX4YW5WqKggiSg9sVZLeBo8ushaXeWJlx08WazbIfSyuqAqbrsW3sO/hANA1h19KrIiRwi0dPPMOHHjosflzcGFuEUZtnBPwfIOP4U1u4228D1MIIV8H5dw9x3VQtVZT8FztPrk0IVQ74A4PcMNAwJGbjE0nBYE/mz0bFKqWQHiX4eZLfjdUT02JbAKckJsmMEV/zcm2KAg1qL2aesXcxtx6q9RMKYpvofLjdttUTViGXUqsOMgg2MsyfZPOCO+4LkHOqOFwjsEuRGaIWHUeOKQQQr4Oqlfj3NZB1WhS8Fzt3uVCqBaiax4ItTWq0v80b+3qJ7n9IIAI9MSNOgiDUA8HTzwYgVva0BSjjmvatxTFt/roV9P+j/kcN1IyepDjkFtgG0ohhHwdtEH+2u/MZR2k4LlatFwI1UJ0zQPhVEAsDPaUNiqV/NfwlCIfGCdkVCzBJpU1ABPrVJazrXnv458kDoeUO13VXvkvdy1CR9bxt/aQzTweoWHf4JBCNg/KWlDXqg1xuMFwjsq5bQ47XwdtkP/Ld+awDlLwXC1aLoRqIbrmgZDWHOGDwCBDQFdC2FDzhuh03JsDETiLG+/NzRW5TZqgrn3DxoHwS6l+LOtTTBE6ymywEbf1EOuKy1jvc1vGdri1qVDH6oevg/6Qn9o6GITnXAg1Z6gQd/RQE0J9ummTPgjdP44BnEbGIJKR4gbMbYi8c31R0yJ04ft4xBGLVOfN2Fd/x2gXV1likLAtIXwvHqMT9k1fB/2AP7V1MBjPuRCKY6hgrMfDi/owfRBGbiqs4gmFB1dsUGOqPoUATGJ+yNzcxhDepC9Ni9DRFn0iCzUOANwI+upTk34P+UyoU0Q4AY4iTSrh9tk/Xwfp0Z3aOhiM51wIxTFTSKDJNTVl7jK8xna0ky7eXwg46uIUea3F9bjb09ggqHjZV768mCJ0jATPo3Mti8Prug1tVm+DU/CW3HcCPfd1kHYSprgOBuM5F0JxzETaElypMfCSKTqFXSjfA+xBxDOhkqMIH7ahsSjYhVBBkrMtJbUpQheCQnGvRhitCpGxgvgoHFnaFLNLjZOvg3SITnUdDMZzLoTimYnbAXaaLTtWCq36Mpm9sQGsY0GQ2azM8T1u/wZ6YQrREZ+yU/tm/uLNNkXo4NXjLJks2SBWRRWHepaDCJnbOZjUlS1POE2VTfk66I70VNfBoDznQiieke5hdgkKqeWTVca3Vv4GTgkEsvKdlAIgto+oB8kQjSNAkyDYuvbbFqHbyAQzcSoE2K4KbWM2wi6u2X1g5eugG6pTXgeD8pwLoXhGwq0a1dQdzUvul/FNXPMGV3FUXZQ+IMNylqggeojlHsN1s66eT4duVL7KbYgCasQzEV/ShboUoaPGDemMEIpjG+a7YBD77ofNMQT1b4qs4bHfL3ve10F7JKe+DgblORdC7RiJtDrHdkwdQ9Q09iVuGEWu2HjGHWSnf3KSjemkgNoAjz0ya49hiyFj9pEWoDpG9oh2XNL9LQ462IDI9D7mbbhsJL4Ous9xTAtDrIPBec6FUAwL/P+zOCZgKwE/BESb4mp4xNEGQgiXb4RallCBEZ+DF9he7bqZ9C0M43jwkSW7bbR9mw6hnyZdDV5h/LtKRLZzVL44JFAqYmrk62C4GRlqHQzOcy6E2jMR1Uo/ZuohTqptCNUS1Srz9XrIlEBMCJs9pSMuadN4D+/sbEXVuKVRBrpvwkEDlSQ454V0398eu33yBnILImM7qtmpkq+D/mdmqHUwCs+5EGrPQOjEqbNDyQi8ltqk1gd/ykqg72ejJQsD5aD3l4QthkzRF7bvYi9vEix5qaTzemn92o2SGQGMshnGB/jsJD5Bfjxi0ahBNOVKvr4O+meXodbBKDznQqgbA5FChfxqxPVwjW1L3IZwO8b2gjA71U7BKZKktu2TvzceAmw68AAecTitTJ18HUx9hur7NxrPuRCqn5y6J9DZU/MH29AQt4O6/vjf540AqheS2eJ1ud2IXpGxKPo6iEVsOs+PynMuhLozAu6WpNkh4Sf1N4Y02nfvvbcwNQT2loTtDWeEvNv+1Pqa7Y+vgynPTnXfRuU5F0JpGAfPFU6vZ0jaPVGtoTQ981bmhABBggQnE5CL5+TcyNfB3GZMGp3nXAilYxrS7COICKok7sfJEYhBgIBkggRxx6d8xlzJ18F8Zm4SPOdCKC3DbCjpeKteeUTapr21BSOAQwp58faTtAS+8XUwfWadDM+5EErPLJwESbvPZkKMi3u4pcd4SS1SFoFsENyAcPlfCvk6mO5MTornXAhNl1G8Z46AI+AILB4BF0KLn2IfoCPgCDgC00XAhdB058Z75gg4Ao7A4hFwIbT4KfYBOgKOgCMwXQRcCE13brxnjoAj4AgsHgEXQoufYh+gI+AIOALTReD/AMv2XeY+vNGnAAAAAElFTkSuQmCC)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYsAAABtCAYAAABQik2gAAAdT0lEQVR4Xu2dCfh/1ZzH34YRIktChKyRNXuoicrOqCxZoiwRJVsaIU0pIduokCkaRYmytZClhFK2SFFjl6Vsk5JimOf19Dkzd77ufs/dzv2c5/k9v/797j33nPdZ3ud81qvJiyPgCDgCjoAjUIHA1RwhR8ARcAQcAUegCgEniyqE/O+OQDECN5R0Z0l/kvQdSVc4WI5Aqgg4WaQ6st6vPhH4B0nPl3RtSV+T9CBJz5T0FknvlvS3Pj/udTsCYyDgZDEG6v7NuSMAMfxQ0hcyHdlG0oclPUPS++feQW+/I7CKgJOFzwlHoBkCV5f0MUlnSHqDpD/b69exW8YfJT0g8/+b1d7+6TUk/bOka0r6mX3/epJuLOkXkj5rVW8q6VaSfifp95Lozy0l/VXSRyVd3r4J/mbKCDhZpDy63rc+EGBT/rqkW0u6g23E4Tufk3QnSXeV9Ns+Pl5SJ+16hKR1JO0taV1JB0g6W9J3JX3V3oXIaPdTJD1S0mfsJgRxnDgCyQ0Mk3+uLQJOFm2R8/fGQIBTMyfhPk+/6CG4LfylpIN3k3R9SV/MPHMtu1nw3n0lXTkGQJLWNmX7ryXdx5TveU05RtITJD1Q0ukjtdU/OyMEnCxmNFgLb+p6kt4haXdJ5/eIBRvsLpJe0vB2cD9JX5L0SjvR99jE0qoRM50q6UhJTy94MojMrisJ4uNW4cURKEXAycInyBwQuKmkYyW9wMQqfbcZ8czL7ORdZyP9R0nHSbpU0nYlopx7SLpY0s9rdACLq38yJfp/13g+PPJqSfsYUUAYeeUukr5pIij66sURqETAyaISIn9gZAQ4BR8v6QOS3jNgW7jBbFSx+YfmcAt5sFlCXVbSxpeaiS0bdBlhQBSvlfRoI4yyOrOfYz2fbG25e8kNDIutwyXtNvItaMDh9E91RcDJoiuC/n7fCLzOdACPKTixM4eRva9vVkqIqFD2PlHSDczE9YQWvg/oLhDnvE/SwSWd5Dub2MZb5ZQXSODxplzOI4w6zxQ150amr+D2glgMZ8G8coSkp0na2Ky6+h5Drz8BBJwsEhjEhLuwoSmRH2v6gLyuPkrSRZL+y07VW0l6iFn4oOdgY0R8xcbftPDdQyXdy8xRV9+HJPjBhDaIiu4t6dslCu4yMuhCFLSN281pRnA7FHQ2KOLXMqstcPPiCFQi4GRRCZE/MCICh5mZJ5t/nnUSllEoo98m6RYmdsGfYFtJ+DsguuLkz/tZy6W6XeJ28RVJn7KbQ/Y9FMMok99pPgrhb7tKOqjCmiqPFLoSBd/fQ9K+1t4fFXSSECVbG7FCtF4cgVoIOFnUgskfGgEB/Bi+JYnNF1FQXrmNpPtLOkrSFrYBZk1BuVncXNKZHdq/p6SdJKEDQLxD4bvcOPDgDqE9WEtYF3Fy37nG9wI5PM50E8+TVCaeqqqS70NqEFiZvoIbByT8cklvrqrU/+4IBAScLHwuTBUBREdvMtPOHxQ0ElEK5RJJ6DaebEpprJJiFXwmIBvq/pAkLJ9QImOplFewRuJ0X6cEwqCveF2j+P5lnRdznqmrr/ig3bxcX9ES6KW+5mSx1JGfdr+ZlydJwmSWzTqE1ChqNZvuKZJ+IwmdRcxCyAy8oBFH4fUcs9DP10jCSopYU13Ioo6+AssyPLnpE17mrq+IOZqJ1+VkkfgAz7R7WDGdI+nLkp5Uow+QyvfMYY+orzFLMEclfAbK6yILo6bfDESBTgVFOreLLTsQRtBX4IhX5V/Bzcj1FU1HbOHPO1ksfAJMtPs4r+E0hnMZOoOqwib7advMidsUu+CTgHku1lk/jlB5lijYtH8qidvR/i0Jw/UVEQbFqyhHwMnCZ8gUEWADxRHvWZLeW6OBbLLcQCCZP9R4nkduJwldSJ3cE4Tw2M+U6V2U5Xw3jyhCk9sSRl19hftX1Jwc/tjfI+Bk4bNiigg8V9Ihpn8gbHZZCfoKwnJgWVRWsFTaQBKWR5jT4j9RJyhhaA/WSoQnb1tYb6+S9FRJD7cbxWpd9AfF/kMbiKR4FpPho015ndc+9BTcujAHRl9RJ4xJ2376ewki4GSR4KAm0KUXS3qrhdzGHLSsEP0VJ7i9zCS06Fl0Dpi0ogvBtBSxEr/rkAV6ABIascljTdS2vFASPyiyy8RZgTDIwLe5pLxwHxAfFmCkdcXMmH/jW3KBRb99vd2aMJXle+SsIHw5eSvwweD76DmCOXDbPvl7C0HAyWIhAz2zbgaxTwikV9V8NsILV5zjyt7hdL99A7JAxMWpva5YrOjb3GQwja0bSBBdDDeGsnDpVdj43x2BKAg4WUSB0SuJjEATMVSbTzcli77b06YP/o4jMCgCThaDwu0fq4kA/gyE6ugq9in6XFOyeJGkt5ulEpnlvDgCi0PAyWJxQz6LDhOyg0RChP4m7lPs0pQsSE9Kfgv0A6Qo9eIILA4BJ4vFDfksOkxQQDZlbhdYLsUuTckCCygc8tyKKPZIeH2zQcDJYjZDtaiGEn+J8Br4TGDiigVPzNKELGjLWZZilWCFsdsSs19elyPQGwJOFr1B6xV3RICIqCToIQUoMZ9iliZkgaXVueZN/saYjfC6HIE5IeBkMafRWlZbg97iYRblNWbvm5AF0WYJ94HZK6ThxRFYJAJOFosc9ll0+pqWsIicFs+J3OK6ZMH6OE7SmuZx7SKoyAPh1c0HASeL+YzVEluKM9y7TLFcx5GtLkavlYRXdpUH9x0tl8U25hxXt35/zhFIDgEni+SGNKkOcbsg3MfpFpqiS+fI5UDeCEJpEJdpbUmflHSFpI+bQn21flKm3sSCFIYc213a4O86ArNFwMlitkO3mIaT6/oTln9hSJ0B6VqJ0krIjaJ81osZBO+oI+Bk4XNgDgggMiKWE1FlCZbXdyH50omS9rbffX/P63cEJo+Ak8Xkh8gbaAjsaClWidp6ZY+oIK462ERTx/b4Ha/aEZgVAqtkwb8J3by+LRZSVVLuafH117AcvsTHqZM0ZlZgeGMnjwBRaC+SdF6PLcVTm3VArmovjoAjYAiskgXXfKxOSOQOIWxmsmLyBZwmCbJA4XiMpAMrUESRuJ4pFNsCjqniz9xrti18/p4j4Ag4AnEQyJLF1SXtYoHbiM1zvqST7P9lzRZJuEIIhk0qNnHi6HxEEvW2LZAFZouQlRdHwBFwBByBkRDIksVtLMfwUZKIgXOypEdLOmGlbUeamKqKLIboEvbyXhwBR8ARcASKEfjXGOBkyWItq/ASS9e4raSNLJhb+FYI8EaQt51iNKBjHU4WHQH01x0BRyB5BKKTRUAMXcMpFrxtqxUYief/DUlPNNv35FH2DjoCjoAj4AhcZfWxWm4qCSuo3SW9e+WPu0l6uaQNe4gE6uPhCDgCjoAjMFEE8sgCj9VPm7ns2Zl2I4L6oim+tzMrJ/QWpxb0jdDSPI+DU9uCSGxTSdl2tK3L33MEHAFHwBFoiUAeWexvFkjoKy7N1Mu/z5T0WLOS2kASP8TVySuIs7Cq6mINRTyeC910tuXo+muOgCPgCERCYJUsyvQVj5J0qEUA/a2knSUdJumySG0Zoxr6v445eo3xff/mfBC4vnmOXz6fJtduqa+D2lAN+uCk5twqWdA4fBr2MiLIInNDi5NDtrB1zUmPXANzLYR1OEjSXyQ9X5JHFZ3rSA7TbsKlv9Ii0F4wzCcH+Yqvg0FgbvWRSc25PDEUaSSLRD+EjEb09P2BArq1QrjGS5Di0ZJY9ISt/nONd/wRRwDrwDeZmDYFPZqvg+nP6cnMuSUGEmSBECDuh+Yr4kQx/QUzpRbif7SfRcA9Z0oNa9gWXwcNARvx8UnMuaWRBRZd75eESA3GHiLc9YhzzD/dEwIvkfQiC67JoWNuxdfB3EZMGn3OLYks6CtxrZ4qaWNJv5zffPEWTwQBNtv/kESInM1nZuTh62Aik6hhM0afc0siC+JcfdBCsONH4sUR6ILAzSzd68d01alvLiH7fR10GfVx3x11zi2FLAD5DHM2fN6MFva4U9O/XoXA1pI+YPqLORxAfB1Ujej0/z7anFsCWdBHwpbgTEhim2y49elPDW/hlBHA4RRjiTuYaJM8MFMtvg6mOjLN2jXanFsCWdxX0hckEaEWH5EY5U6SDpBEbujfx6jQ65gtAmSRJKwNkQ/QiU21xFoHOO6i9yNrITeVG0n6T0lvlfTNqXY+sXaNMudSJwsmNuFISMR0L0l4nrctz5B0R0k3kUT8rGtZvb9pW6G/lwQCrKHDJT3SQvqT2XFqJdY6oJ49LFbbJ02ci+/V6yW9QNKLc4KPTg2LFNozypxLnSyweuJWsbekfTrOEticW8RPLK3sA50sOiKazuuc2kk7/BbbTKfWs1jrAMuvW+dEd4AwCCjKoewBkr4zNQASbM/gcy51ssD6iZhWbPQx7eFJF+tkkeAKbNklTtzkrEc8eQ9JF7esp6/XYq2Df7csmYQ9OWulsS8z0Swe7q/oqyNe7/8iMPicS5kssIFHhoqVCsmaYhYni5hoplEX+iscPp9jATen0quY6+ATkh4j6RBJWBVmy+MlHWcK/22m0vnE2zHonEuZLDjdvMHi+GCxErM4WcREM426SBr2XZPnI66ZSmDKmOsAa0LI8N8knbcybM+U9D5zVuS/vfSPwKBzLlWyuIbJkG/bU1Y/J4v+F8Icv4DSdwtTdK9upmP0p+91kO3TMebwih8ANwwvwyAw2JxLlSxCrnDkyFybYxcni/aIEpeL8fmTKUKvaF/V5N7c0ayBiBv1jgm0ru91ELqIlSA6DIxJIAsPzlk9+LHWwWBzLlWy2EnSwZJ2kXRg9bg1fsLJojFkQiFH3pBrS/qapAdJQlyBBRFOk3MJl1HWc1IJoyf7nKRHTKBPfa8DsMBJDC92CIM+/6r51FjUG7HXwWBzLlWywLcCj+37WyrY2LPRyaI5ohADFmmcPkNBEfphSfiwoByee1lT0tclrSWJRdzFrycGFn2vA9pIXKztzOrQg3NWj1rsdTDYnEuRLAJ415V0t54WrJNF9aLIPsHpk4B7xOfC6CCIKcjSxi2DUPHY5w8lvtjUTJ9vYH4z3EJjFfr5OKv/9FiVtqhniHVAP1F4b9/TOmvR7Um/0tc6GGTOpUgWxOk512SoD5b01x6mj5NFM1DXsBM3Dl2Mzy8yryOywT8Bh66hTuKIwPCHwPP4CEkvbNad0qdfbQ6g1BmThJo2se91wNp6sqTdV/LCEP5jqHFsisnYz/e1DgaZcymSBWEXTjA56tN6mh1zIAu8ajnJXN4TBtlq0UNwKyCfeVHhlkd2NuIohULIFG4WvIdH6pUDtDV8AuLiUIEIjPGMVYJojXwXbU1IwYVYS7tJurRlw/pcB4zlUyzeWvY2yJyDJGn7VMoS1kGMOVc5XimSBTJUlKaw7b6VCLR7YOpksZ5Z43DqO79dFxu9dR8zJgD7JqfK+0n6kiQ8ggnMOGTBiexIu9HE9O6H9M60fiHuanOzXVvSZy2xUtvYY32tg/UtyySGI6tiw9tL2kwSnt5TKEtZBzHmXOV4pUgWBHXjtEhkTMIc9FHwZCXcx4YtrT9CSIg64dKxniDCJ4rhOo5eOOrghEhgt7P76HxBnZxkCfnwhJqReMn8hT0+J2cUpEX6ir6weqcZQGAEEVNXcnNJF0i60MLMtEndG4Ms+lgH60g6XhK/8+YiOiCiJXy+5rzra2z5fGrroAzSGHOucshSJIuTJD3cIsPiZxGrYDuPHJiFTARbHJ5+YKIMzD73lPSHmh97qYko2GDLCAOiILQ62c0gjMsq6kdhzGLGlPE9NdsS8zFuMhtVbP7he5x8kXtD7GX96gMriOorpkdBQRuzYAn1bRO5bdDyMBGDLPpYB+h3ykS7iBMxoa17U+tjbBnLFNdB2RyNMecq10BqZIGMHpk4ljWcWr5VicA4DwQSQBRSRBh1nlltPfkUuJLiiJh3Wma8OfkjSsCCAhEVSjdOg5wKWeToe9r6PKC7IPooYR/KlLt8bxOTyVc55dXBoc4zWayIl3SOpGdJ+pQpapFtgw+6hi45SsATPQyms2yc3DKalq5k4esgvXVQNodizLnKOZoaWaAYxM4dz1VuASRlmWop2+Cabn70EZEYRIl/CXqAvEIE3oskkdHtZJM9P8R8HJDvcnJEfMWG37bw/UPt9pWX2wGS4AcT2iDKIOYQp/EiBXdsrFAIoq/ASRCSONow2UHScy1kRxvxEZhx48RkFj0OPxBH09KVLHwdpLkOiuZRjDlXOUdTIwuun9wmbifpVpJ+WonAuA/kbYJtiIJeHGYEyeafZ5XEaROP9rdJuoXdKlCibmumj4iuOPHzftZiqSlC3C4Q8XBix5onW7CiQemLviCr+N1V0kEV1lQxsXqX+QYQORXZfigQLrkYULyvhuBuggPmwOAYdE1N3uXZrmTh6+Aq/FNcB0Vzqeucq5yjqZEFiwzxAnFXIAyUjE1LWxFM0XeqMA6bIA5O6CbYwMrEU3nfwQwUkmTTRQSUVxC9oMw9yk7O3CxQ0gfHMW4WKMqw5Ola0N8QauLumdwOfJ8bB4r6gDHY4DzJSXjnGh+NgVXQV3CQII5RVlELPjgOdvX877pwu5KFr4O010HeUuk65yqXX9VGVlnBxB4Ii4Rm4eTV1uxw6G6FTRAREKIb9BhNQifwHklnOLmjdM8rKMEol1iuaByqUEa3teMvwyiY8vGND0lig4acOGnnlSZmzl2xIhIxIi9ETrQtW0gL+i+mb+gyd8LCJVYSN6zVQu5qiJ2+5BXIE+wQjxFwMa9AuAQrzDsQ+TpIfx2szomqOdd5T0uVLOgXCsYuC74zuA0qoL2vkYR1CErmJmTBu1i+YCrIJl1lBsoGdYphs1WDNjZ59Hpmtos4CuetmKULVrQDURtxqJgf3880jHrZ2LlpoNvpcsOsOuWRxx2RIPqStmSBfgdxXp41XSALXwfFM2/u66CILNqKPivXaGpkQTwcxDGcHuegs2CAwubHJoZymFvClg0IAysmRG9flvSkyhG/ilS+Z2EaiPbaR6FP3CTWlYTyuuh03PTbXbHie+gr0Ems+lcghkNfUSbKq9veKrKoqqerGMrXQRXC814Heb3rOucqEUuNLFCu4oiGJRRy/J9UIjDuA9nNj9MscnROPPs3IAxMhAmLvY/5elT1CCIi1SybOJZjfRUUx5jpojT+cYSPxMAq6CvQy2AJlS2Q9H4mvkQUiPk1c6lpuBQsUyBubnltFeVdycLXQfWEm+s6yOtZjDlXiVhqZJE1IUO5imx6qiVv8wttbUIYkAyOePgMvLdGZyEibiCQTB0nwrZJWgjhwebbVVlMl2JhhdEDtwdiNqEPCAVLMU5mv7Y0vHyPGwbpQ5uG60C09FXTH2HCTarVpqUrWfg6qEZ8juugqFcx5lwlYqmRBR3GHPShZqJ5WiUC4zwA7q+ykCR4m+eZ+EIYKK3pS5kOA7+AQ8xn4qMV3QlyWpzOsL4qK12TtIR2YdmFA2DbEhMrlMbceFb1FSiUuZ0RhZa/4x+BQQAE0rSgr+GQwobPDbeJoUL4Vley8HVQPbfR281pHZT1KMacq5znKZIFzlbEhUIHQGKdWIXNk82GEA6c3NhMUFQSNK1pWBEic/IDCZSJaAJhEFJ784KwGFjwEOWzyPIm23+ivrKR7WV+GWXYdE3S8nRTJHeN0RUTK3xMMBcGz1VDACyy2KQ5YDC2kEYbJTeWTnhtX2ymw22szWKQha+D4tk9x3VQtlZjzLnKfTJFsuDETtgLYg+xOcQo4MSmzEaCiCEUrIkwvyR+EyKXuoXYUpw46wYSRL7KjSnPySiIe+paQdzSzC3LxCsxkrQg6kLUU1c8VoRdTKwwBoCAiyLjEgYFa6guzpyYL2Nkgd4CT/WmYixwiEEWvg7KV+Pc1kFZb2LMucq9K0WyCLHd8Wh+diUC9R7gNgFR4NCGeWvYtEM+BiyvGLAf1asu6lNNxFB1PxwjSUsf7arb/jGf44Z3okU85lbVpsQgC18HbZD//+/MZR3EmHOVaKVIFoFlkUki728jSlgFDssYPJ05caI4D4HmsopEIqgWxWSqHIgOD+DHQKiOruKe1SZ0TVZElN639xD9twNUg7zKYeLNFq6dvCptCocQFLB7rGSha1KXr4MmaBU/O4d1EGPOVaKVIlmEcL2QBBs7HstdC6RAzgW8ZTE7DYVQFZhX3thMRNuEF+naNmTwkFRMsVtRm5okKyKZEfkt2loEdcVlrPe5faLb2sJEh2O1w9dBf8hPbR0MMudSJIvg0fwwI4s+zWc3Ntk0CmbYfYxCUEDMM7ldEFeqr1I3WVH4PhZQ+HIQdqVLyO+++tNHvZgw4sOB7gOSzOYa7+N7ZXX6OugH8amtg8HmXIpkwRQJSl8seshP0EdBWUrGPCxfsNhp6rwVq03B0QyfCSJttlGo1mlL3WRF1EWbiNqKIpkTdl9tqtPuIZ8JeTK+YXGw6mQ27LN9vg7iozu1dTDYnEuVLEIgO65nMWMTYSW0vZ0csfaBiMjLkGelFH+aFteIjJwMZn3Fw2qSrIhWYmlyrnmVv3FIIEb+FjgF67i9R24Ln/d1EHcQprgOBptzqZIF4Q4wcUVRSGTVGHqL1WmHvgInLkRRWF0Nme96tS1Bb4HojZhMMUubZEXB+Q2zV0hjKQUPevxLMIhok/QoNk6+DuIhOtV1MNicS5UsmCKcttEjbNYx81vZdCPJDDJqEtizYWejmMabptU1IbckYRH2/TFzSrdJVsScOk4SwezwTl+KCAqxJAcGIh1zgKhKF1s9qnGe8HXQHceproNB51zKZHFPk5uTcGc1aFz36fN/NaDcxmGP78TcqJu2EbEYEVVRKNdx9quqv22yIvJOQ6DY+eNIuJRC3nN0WFiAtTWZ7QMrXwfdUJ3yOhh0zqVMFpi7IpK5vVlF/a7DnOEKioiHkN6reaXJCHewxRbCpK4qn0SHZpS+yu2CfAz4g2Cf36V0SVZEjgXCoEBeYyt4u2DQ9N2PmIEBYs8YUXabfr/oeV8H7ZGc+joYdM6lTBZMEcJxHNsx5ARenOg/OLHnmchiCXWgnaaJOTSmspvrMqdbItGOoSsgwuwR5og3hjd7+22h25scSNBRHDPy7bKoF74Ouo1v07eHWAeDz7nUyQIFN7J8+slG3iYJDxZQ1AFZYIoL+WQLoh/8G7D62b3prOrheRSsWGwRVfaPPdRfVCXyU8JcYAXE7yUVogMj6kSxTQj0qRVfB8ONyFDrYPA5lzpZMEXIPvdxE4tw8mtTEKmgsF3NF4HnNjb1bMqbSvpVm8p7eGdHM5vk1kP6zb4Lin5EceC8SqZ9f3vs+okLxq2CCMeIJKdafB30PzJDrYNR5twSyAKZLXkeyJyHlUqbkNHgtIOZ4bIh4hVOGs59LY8ykVXJnT2lQhTaiySdN0Cj8NQGo2xE3gE+O4lPEP8KXx5yYEw5M6Ovg/6ny1DrYJQ5twSyYIoQeoH4SfhFcH1rW4I5KLoBSOdUO1XGCFbYtk3+3ngIsDkwB7CA6iufecze+TqIieY4dY0255ZCFgwrMmVyTqC7GOK0Pc5U8q8OhQAiB4JKYmW39YhWcE376+ugKWLTeX7UObckssAMjvAcBN4j/vuQyt/pTDdvSSwE9pSEbgil9qo5daxv9FGPr4M+UB2mzlHn3JLIguHEUoHT4BmSdo2U62KYaeJfmRICOEPhhInjIZZycyu+DuY2YtLoc25pZMEUIXw0hIHzGH4TXhyBJgjgeIkzFGbShIWfa/F1MJ+Rm8ScWyJZMEVuK+l4y0Z2+HzmjLd0ZAQwbCDu1T6SUpg3vg5GnlA1Pj+ZObdUsgg3DMJJs+jxEXCLphozd8GPEO4b73RuFJhip1K4Yfg6mOZoTmrOLZkspjk9vFWOgCPgCEwQASeLCQ6KN8kRcAQcgakh4GQxtRHx9jgCjoAjMEEEnCwmOCjeJEfAEXAEpoaAk8XURsTb4wg4Ao7ABBFwspjgoHiTHAFHwBGYGgL/Az/vidfNfwpCAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ n = 10
Question 6.How many silver coins, 1.75 cm in diameter and of thickness 2 mm, must be melted to form a cuboid of dimensions 5.5 cm × 10 cm × 3.5 cm?
Answer:Coins are cylindrical in shape.
Height (h1) of cylindrical coins = 2 mm = 0.2 cm
Radius (r) of circular end of coins =
= 0.875 cm
Let n coins be melted to form the required cuboids
Volume of n coins = Volume of cuboids
n × Ï€ × r2 × h1 = l × b × h
n × Ï€ × (0.875)2 × 0.2 = 5.5 × 10 × 3.5
n = ![](data:image/png;base64,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)
= 400
Hence,
The number of coins melted to form the given cuboid is 400.
Question 7.A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and slant height of the heap
Answer:Given:
Height (h1) of cylindrical bucket = 32 cm
Radius (r1) of circular end of bucket = 18 cm
Height (h2) of conical heap = 24 cm
Let the radius of the circular end of conical heap be r2
The volume of sand in the cylindrical bucket will be equal to the volume of sand in the conical heap
Volume of sand in the cylindrical bucket = Volume of sand in conical heap
π r12 x h1 = 1/3 π x r22 x h2
π x (18)2 x 32 = 1/3 x π x r22 x 24
![](data:image/png;base64,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)
= 36 cm
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAN8AAAApCAYAAAC1MvwoAAAJWklEQVR4Xu2cCfB9YxnHP9rRSowtCSFhUNkqCaFEi6LsqaayRIlGUxGyy15UijLK1iZR9qV9XywpFVrIoAntqfn4P2e8c+bce8//3nPvOb/jfWZ+85u59z3vued73u/zPs/3ec5ZgGwZgYxAKwgs0MpZ80kzAhkBMvnmbxGcCzwG+On8HZZH9wiBDzV1LZl89ZF8LPAr4BXADfUPyyMzAtUIZPLVXxlrA18Enln/kDwyIzAYgUy++qvj3cCqwFvqH9LoyKcBzwH+AVwP/LPR2fs9WSexy+Srv+i+AXwCOK/+IY2MfBTwdmBB4IfAC4FdgI8ApwH/a+Qs/Zyk09hl8tVbdE8CbgeeBdxb75DGRkm03wLXJDNuA5wP7Ax8trEz9W+iTmOXyVdvwW0MHAasV294Y6MeDXwZ+A5wJPDvmHmh2AX/Fr+p+LyxE/dgos5jl8lXb5UdHbnWB+oNb2zU44EfhcjzbOBPycxXAKsAqwH3NHbG/kzUeewy+eottu8BCi7X1Rve6KjVgaeUzv2E2Pn+A7wA+FejZ+zPZJ3GLpNv9EJbBvgZsDjgYu+CrQN8EzgAOKYLP2gO/YbOYJfJN3rVvA7YHnjt6KEzGWGx33rj/cBOSR44k5PP8ZN0Crsq8q0AbA0sCijVHgX8ZY6DPsnPV038NvDRSSZp8Nh3AS8KpfOBBued61MtBtw14iI6hV0V+Z4BvATYD1Axen6IDXP95ozz+8XnFmBT4DdDJtBJbQesHL2fT44w9ZPAZUOOWwLYC1AcULl8EPh6kL3qsNcDL45706ciu/gZXbjuxGQR4NfAccBPaty450X4/bIhqUHnsBsUdkq6q4HfATvWuPi+DlFJVOo3GhhkYrgPcC3wg2TQawAbsQ+MMkX5eElkVGEBvWjUto7ogvOzO0oHON4/Sw7/je9cdD+fouCisOPv0REb5k7DJN77AoOvRtPA44DDgd0DW5sJBpllFxsgdGDrDyBfG9iNxGoQ+ZYEbgyv/Egu4koqJf49hiDpbifxPh+KaCHKFIrksoCqm46sMNvU3OH0xtbwCrsY2CJ2gLSo7vEbAh+L3bEYvzdwyhSFIFOPy4FNgLtHrqbxBji3/bKfKh0uAd0AdIDWV22pq7I3h4O7cwD52sJuJBqDyOcCuDAu/JcjZ+nvAD2xoeOXhlyiC8Oc0A6YNZL82EeP/Nyw3RxNdVLz88LD+4RE2h72amAr4D1JJ4274enR4VKM9b49EZDge04R/lmQT3yXC+X2+6Vr2TfCSeus+1dcp3gvD7wTsAupvPO1id3I2zKIfIZDLoxHcr5nL6XedGngviFISiZVxz9E+FMMlRyGk0+Phmy/1wqp+20V3r58GtW5S2MnrPoJ7wc+PPIujz9gFuTTyb8S+DggJqnpjFR2vwDYUpeajkfSHRsYlcnXNnYjUa8iX8735sFmmHdo/B8JZMUAvfC3ImeyQF+Yjs0cal3A4r0LXKKa43VNRJkF+cxbfVLkxEh1UijtzTwD+Ew0k6ff6fAM9w3n7fap2vnGuW8zO6aKfEsBN0We00S+Z0Jtodr/45oq4O9L+c64c9U9zl5OO0cOqntAMu6pEbb78K354t/jO/F2oWwUjwep7v018inribeFCNOVjpVZkG8YvD5BIi7WWN0BC1sJkLSfiw96Qz7DTRU+E90m8j3nuSDKFmOs44cOkXyGHSp7k5pytMn8RSMm+m4ITu5OdcyIYdfIX7YNb60ymXbFqMipiIqJeZ1evRAyPN4nFezfNI/zmtu2NsknwcwBFZ4kX9E87r1TaDo++aw35DOGVnDRs/jgZp/s5aFK/iKeixt0bbaSuWvZUzmOGUYqlRt6qsYVpQTzSFvVVox85aTS5FuGGLN5KX8c5zc0cUxb5NMRnQ1IQNeiuXdhb4y+1puTz3pBPi/aONqCct/qe6qIZ8Z1+VDsDsBVA1aoO5fe9g0TrGDrT+6adl5sEMV6dz4fiH1uyOfurqm5I7q7uwNahpi2WdB2FxmUEihq2DxwzhBHrAKrEykEpSZ+s50o5nRGYWm903qrDu2s0kl6QT6VvSLfM8nti7mor4yk/WuAErYe1RC0yqw5SRJraJOYBWprhZYKFBVc5Do3yahMXg6j7S4y7/PcljCm3cjtDm+HjaFcldUhn/mp9cc/TgJUcqytjWJlCJ8+KqWq7H0T03JO3AvyGfZY07IwKQn7ZBa2i7eOqYz5dLhhaLm25DVLAD1sHW9u98Rm8UoHRaHU3hE9obZIWWIwbzGcMnQaRj7DVMe3LbzMOuy0HupO+95otyuwtN3MZxdVn2+tWJTirwPRsZorqyjbJNJpK6udvhfEfKPI91Tj7DKYxAyxfA5OBXBcUxFU+m/yfZm+f1EnU35awZcUKcZYvB1lqYCiR05LCh6r0nlyhJ++e8Wd7E1R33P3swifWhF2XhKOYdT5p/39LMnnvdAp2Y6XPpkvqcRRfKusaGbwu0HtZdPGaaz5U/IZEqks6b3NdfQ29icaMk1izms4az45rtnL6C7UpAJo8dumaett6S5vvmFLmP9HmdekY5E01qQsBqd2ahSO9cR6c81SjoKPame5pUpnZx5qyGV+2rbNinx2uLjWdFTlV2IoTlmasROm9+Szv9CuiVfFomyi3ND2Ihp0/hMAhZG3JgPqtJSl8ynOLAx8unQSyf3jCJ/ctVPF7oORb9rXWISWOkIdnQqfuWhRG2wTu1mQT0HKSMP/RcN4es1GTIpP5uxVVrzVTdLOqaf6y2GntTS9rgm0YZeCQ59fTec1mo+ZTygYGOKY5LsQ6i5+MTSUXAv4SogoNhXowJxvt8gv04Vj65P9ii5ui/k+TmRoZZO2juDPbTIuOfcsyKdyqfI8yAzVdUjm6KkZnejEJOea8YU1VJ++ODjy9o7AWP0zqjpcBFyvbR2lz8QrELFLwpDWMPClgLmgO9X8mruf+bK5iwvAXFnVchiGkl6Ry9Bcxc6XJXUJ81mQb35x7s34/BqJeTuWRLEDXgK6Cx3Smzs82YVk8k2G39CjM/nmwaO6qPJojcnO+vSh2CnC3/mprfMdEQ+76pSyNYhAJt88MFXTbOK1dOArILJlBKaOQCbfwxC785nU+y6RbBmBqSOQyTd1iPMJMgLVCGTy5ZWREWgJgUy+loDPp80IZPLlNZARaAmBTL6WgM+nzQhk8uU1kBFoCYH/A3T+7zn24fL2AAAAAElFTkSuQmCC)
l = 12
cm
Question 8.Water in a canal, 6 m wide and 1.5 m deep, is flowing with a speed of 10 km/h. How much area will it irrigate in 30 minutes, if 8 cm of standing water is needed?
Answer:![](data:image/png;base64,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)
Area of cross-section = 6 × 1.5
= 9 m2
Speed of water = 10 km/h
Water flows through canal in 60 min = 10 km
Water flows through canal in 1 min = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIwAAAAzCAYAAABFXOCeAAAH9UlEQVR4Xu2cd6h8xRmGn5+9KxFUbLEn9t5jwdhjNEbFWGKsKGpELPiHNSB2NIliVzRYsURJiD2JDTUae69YY9fE3uUhMzAcdk/ZPbv3LjsDlwtnypn55j1feb/v3inkliXQQAJTGozNQ7MEyIDJIGgkgbYA82PgFGBn4MNGO8iDR0oC/QBmF2AJYC5gI2AGYBngvZGSQN5sIwn0A5gVgjZ5BbgKWCsDppHsR3JwP4BJD3xNBsxI3n/jTWfANBbZeE/IgBnv+298+gyYxiIb7wkZMON9/41PnwHTWGTjPSEDZrzvv/HpM2Aai6yvCesG+mEOQP7qzL5Wm4DJ4wyYOumMZYGdgP+Fu/Gizwee7fGu1gaWB44HLgH263GdCZs2boBpks7wck8EtgbeCTc0D/Bn4CDgnh5v7YfAk4B7kfAcqTZugKmbzpgZuB84PAAkvdTtgSOANYBPerjtXwCXhjTKSz3Mn9ApbQHmL8E2LwW81eKJVN9+3W/UWHMqYD3gDuCbGuPL0hlqlT8Bmq3XC2stBDwNbAv8tcZ7ikPOAlYPP1/1MH9Cp/QDmAOAxYE5gZWAaYAXg7r9DjgK+KjP06n6fwNsVgEawXI08LMAmjpffhlg9C9Mpi4HfFw4w+zAY8BNwF4NzzctcB/wL2CfhnMnxfB+ADOMA0QgqMa7gabOmE577QaYqYG7gFmBlYEvCpNnBB4NmtSo59sGglgYeBzYHbgyzHP/WwELhnX/EZ57N2oxNdr1iaOtWd0AmA74N3Ar4AfqB+sH43j3aAXBCw32VmvoZAeMhygDRK9gcd1ugImAsBBsTeDrLoDxkjSZn9WS9P8HbRP8l6XDZf4gaCkvd7XgMwkGzfDmwNvAf4FbAMH586Dd7gSmD1rOudcCvwpnejlofM/306D1G2yxfOgoAKYbaPoBSxlgDJ01OW92AYxfshGS4zRZTQBzdnCWBcdMwK6APo338Aigs20obxj/W+D3wHxBu9wYnqX+3LHAdsA5wB8TcEfQnwH8oTW0hI3G9fQBJrL9ruLlESBbBtW7N1BmqqrO0k3D6JNpNl5rGTDRf3kIODj4ZucmgNP8vQ8YOWm6dIyvADYMGkZz87fCoYy21DwrAu8mfYLZM0gLnF4liCb9qYaZ7IBJNc2+4UL1a9QEvbRugJktaBjNQZlJ8p1NNMwiYV2jrwdDFFb0j+I53INNTaMW0dwIijSI0Icx9Pdnz4IAVg2OdYwae5FPxzmjYpLi5t3vkYE480scBGCsTfZCbUZ/nxckF9W9z1fp4BR3uxxNx0XAeaH+WR9Ic6QD3a2pVf8Z6qQN9dO2KPAEsBtweaHPCNUITvPWalH+KAEmgkXB6/ypZSw+7xU03TSM7/k7sEDQIJ8WLsPoSR/H9MDGDT5d/Rd9F02N/IuR0mmBBni4yzpzA88AhwU/JR0WHWgL759POjR9+lhPAb9usL9aQ0cFMClYjB5eDdHTCX2ApoyHcV2/0CVDpJIK0/TAc8CpgfupI+jov6i5ovkwQtLPEDQnh0U0IbcnC/pB3AwYSusUp03tpMkUhF8mHfpC94aPSkfZMFtHPQVVnT13HDMKgOkElngYVXavoCkDjOGyBNtPgAcKkvOZYa6aosycdDIfkpCRfzH6kSfRP7kuEKBbABcnEz2bmkT/JSUQOwEwTjsJ+GXi8+wR1m/lz38mO2Dcn/mcHYFNgmYpIl/Q+IXKXzQxT2XpDN97YbgkGW39DZvPjWwk97yI+LzqizX/5Hr6FLLhNv+eS7PmnjUhAsff8ii2Mv9FB9oEZgrAuAcB6b5cTy0Ww+6qPdbqbwIYVbHcgISRdl2GU3q8U9a2rbIA0//+KNQoyE4Hi6AxwyxZ1S010CSdYaSi32EYLJ+hrJxvvkz/qZgyKBO4fIrmQ+2U5o+kEtQWvsPflyWLxBTEMQFs6frKQ0fXKM26mrQZhh8YOBzNk2F10Q+rBY5Og+oCZh1AVWf+I9pSuQLtr8/S0LbNsgCjFNeum3zU5t/WgZ3tVUDKxz2ovfxApO1jBNVkTXkRQS3PUmw61zb9sk59Jj+L6QfBNX/gbDrtQy5JDabD3CR1UXmmOoDxi1KTqNp0pmK7Adg0yRD7fJBlAZWHyQMGL4EqwOhdm8LXJhqdpDZbltXw9hDgg7DVQZYFDF4a+Q2VEqgCjCHb3YA0vE5bVRtUWUDVe3P/kCRQBRj9lkNDCGkNh7ZxluBXFGntQZYFDEkc+TVVEigDTGQ81w8ElqSSuQ3jees09M4FVCSNBlkWUHWO3D8kCZQBxvBZ0krqWT/FPEgkf9QmVwP/AfYPnvggywKGJI78mioJlAEmaozFAv9QTJObbtchllCTvh5UWUDVGXL/ECVQpWEsAbQ6zAp5qfK0qXlMwqlpDLkHVRYwRHHkV1VJoAwwEk2WAsZiaMGRNgkn/RhBJaAMwQdRFlB1htw/RAlURUlS1TsECrobYGR+Db+lvAdRFjBEceRXVUmgCjAW58i/qGWKOaNokkyhm9uwtV0WULX/3D9kCVQBZt5Qs2GUVCTuDLOtBrOQOabk2y4LGLI48uuqJFAFGOdb7mdSzyxw5Fycd0H4t6v2xcr5tssCqvaf+4csgTqAMTNqvYlh83EhVW7JwY9CVZrF0mlrsyxgyOLIr6uSQB3AVK2R+8dIAhkwY3TZbRw1A6YNKY7RGhkwY3TZbRw1A6YNKY7RGhkwY3TZbRz1e9NU7UMuok7SAAAAAElFTkSuQmCC)
Water flows through canal in 30 min = ![](data:image/png;base64,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)
= 5 km
= 5000 m
Hence length of the canal is 5000 m.
The volume of canal = L × B × H
= (5000 × 6 × 1.5)
= 45000 m3
Let the irrigated area be A.
Now, we know that,
The volume of water irrigating the required area will be equal to the volume of water that flowed in 30 minutes from the canal.
Vol. of water flowing in 30 minutes from canal = Vol. of water irrigating the reqd. area
⇒ 45000 = Area × height
Given height = 8 cm = 0.08 m
⇒ 45000 = Area × 0.08
![](data:image/png;base64,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)
Area = 562500 m2
Question 9.A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in her field, which is 10 m in diameter and 2 m deep. If water flows through the pipe at the rate of 3 km/h, in how much time will the tank be filled?
Answer:![](data:image/png;base64,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)
As we know that 1m = 100cm
Therefore,
![](data:image/png;base64,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)
Radius (r1) of circular end of pipe =![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABYAAAAiCAMAAABsgdmyAAAAAXNSR0IArs4c6QAAADNQTFRFAAAAAAAAAAA6AGa2OgA6OpDbZgAAZgA6Zrb/kDoAkNv/tmYA25A6/7Zm/9uQ//+2///b9llyQgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAiUlEQVQ4T8WRSw6AIAxEWz+ICuL9T2unRPm5JGE2pUMZmjyiXgqGeZawe2dev9CwHeSng8jNdC1Sk9AGY+VBGpdbJx1e0Ym0Vx5NY0so7CoEs95qQPYl9mMWGwcpg4QlWg1a5vfbGmQE2oBUoBqQg4ws1M5BRnJwC5CfXYJ8Q2qQClT5FSD7AX0A94cF7yVL60oAAAAASUVORK5CYII=)
= 0.1 m
Area of cross-section =Ï€ × r12
= Ï€ × (0.1)2
= 0.01 π m2
Speed of water = 3 km/h
=![](data:image/png;base64,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)
=![](data:image/png;base64,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)
= 50 meter/min
The volume of water that flows in 1 minute from pipe = 50 × 0.01 Ï€
= 0.5Ï€ m3
The volume of water that flows in t minutes from pipe = t × 0.5Ï€ m3
Radius (r2) of circular end of cylindrical tank =![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAhCAMAAAAxrgE+AAAAAXNSR0IArs4c6QAAADZQTFRFAAAAAAAAAAA6AGa2OgA6OpDbZgAAZgA6Zrb/kDoAkNv/tmYA25A629vb/7Zm/9uQ//+2///b+PLUUQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAdUlEQVQoU51Q2xaAIAiDLLMys///2bhUUi8e3YPKYQM3gDo2x5xzQZzojohSRwfHuALs/ALIPhCFCXc9U0+V2v/Xha8sOmUezZdF2SOG+udaGTzdoFXex2cvYlLBWaSBvBqId4MoUb5IRv5E+u2mEhav6wzvAtJdAvhGK0RUAAAAAElFTkSuQmCC)
= 5 m
Depth (h2) of cylindrical tank = 2 m
Let the tank be filled completely in t minutes
The volume of water filled in the tank in t minutes is equal to the volume of water flowed in t minutes from the pipe
The volume of water that flows in t minutes from pipe = Volume of water in the tank
t× 0.5Ï€ = Ï€ ×(r2)2 × h2
t× 0.5 = (5)2 ×2
t = 100
Hence, the cylindrical tank will be filled in 100 minutes.
A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder
Answer:
To find: Height of the cylinder (h)
Given:
Radius (r1) of sphere = 4.2 cm
Radius (r2) of cylinder = 6 cm
Let the height of the cylinder be h.
The object formed by recasting the sphere will be the same in volume.
Volume of sphere = Volume of cylinder
Hence, the height of the cylinder = 2.74 cm
Question 2.
Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.
Answer:
Radius (r1) of 1st sphere = 6 cm
Radius (r2) of 2nd sphere = 8 cm
Radius (r3) of 3rd sphere = 10 cm
Let the radius of the resulting sphere be r.
The object formed by recasting these spheres will be the same in volume as the sum of the volumes of these spheres.
The volume of 3 spheres = Volume of resulting sphere
[r13 + r23 + r33] =
r3
[63 + 83 + 103] =
r3
r3 = 216 + 512 + 1000
r3 = 1728
r = 12 cm
Hence, the radius of the resulting sphere, r = 12 cm.
Question 3.
A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform.
Answer:
The diagram for the situation is as follows:
As per the question,
The shape of the well will be cylindrical
Depth (h) of well = 20 m
Radius (r) of circular end of well =
Area of platform = Length × Breadth = 22 × 14 m2
Let height of the platform = H
Volume of soil dug from the well would be equal to the volume of soil that is scattered on the platform.
Volume of soil from well = Volume of soil used to make such platform
Ï€r2h = Area × Height
Ï€ × ()2 × 20 = 22 × 14 × H
H = ×
×
= 2.5 m
Hence, the height of the platform = 2.5 m
Question 4.
A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment.
Answer:
The shape of the well will be cylindrical.
Depth (h1) of well = 14 m
Radius (r) of the circular end of well = 3/2 m
Width of embankment = 4 m
As per the question,
Our embankment will be in a cylindrical shape having outer radius (R)as 11/2 m and inner radius (r) = 3/2 m
Let the height of embankment be h2
Volume of soil dug from well = Volume of earth used to form embankment
Ï€r2 × h1 = Ï€ × (R2 – r2) × h2
⇒ 31.5 = 28 h
⇒ h = 1.125 m
Question 5.
A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream. The ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream.
Answer:
Height (H) of cylindrical container = 15 cm
Radius (r1) of circular end of container = = 6 cm
Radius (r2) of circular end of ice-cream cone = = 3 cm
Height (h) of conical part of ice-cream cone = 12 cm
Let n cones be filled with ice-cream of the container
Volume of ice-cream in cylinder = n × (Volume of 1 ice-cream cone + Volume of hemispherical shape on the top)
⇒ n = 10
Question 6.
How many silver coins, 1.75 cm in diameter and of thickness 2 mm, must be melted to form a cuboid of dimensions 5.5 cm × 10 cm × 3.5 cm?
Answer:
Coins are cylindrical in shape.
Height (h1) of cylindrical coins = 2 mm = 0.2 cm
Radius (r) of circular end of coins = = 0.875 cm
Let n coins be melted to form the required cuboids
Volume of n coins = Volume of cuboids
n × Ï€ × r2 × h1 = l × b × h
n × Ï€ × (0.875)2 × 0.2 = 5.5 × 10 × 3.5
n =
= 400
Hence,
The number of coins melted to form the given cuboid is 400.
Question 7.
A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and slant height of the heap
Answer:
Given:
Height (h1) of cylindrical bucket = 32 cm
Radius (r1) of circular end of bucket = 18 cm
Height (h2) of conical heap = 24 cm
Let the radius of the circular end of conical heap be r2
The volume of sand in the cylindrical bucket will be equal to the volume of sand in the conical heap
Volume of sand in the cylindrical bucket = Volume of sand in conical heap
π r12 x h1 = 1/3 π x r22 x h2
π x (18)2 x 32 = 1/3 x π x r22 x 24
= 36 cm
l = 12 cm
Question 8.
Water in a canal, 6 m wide and 1.5 m deep, is flowing with a speed of 10 km/h. How much area will it irrigate in 30 minutes, if 8 cm of standing water is needed?
Answer:
Area of cross-section = 6 × 1.5
= 9 m2
Speed of water = 10 km/h
Water flows through canal in 60 min = 10 kmWater flows through canal in 1 min =
Water flows through canal in 30 min =
= 5 km
= 5000 m
Hence length of the canal is 5000 m.
The volume of canal = L × B × H
= (5000 × 6 × 1.5)
= 45000 m3
Let the irrigated area be A.
Now, we know that,
The volume of water irrigating the required area will be equal to the volume of water that flowed in 30 minutes from the canal.
Vol. of water flowing in 30 minutes from canal = Vol. of water irrigating the reqd. area
⇒ 45000 = Area × heightGiven height = 8 cm = 0.08 m
⇒ 45000 = Area × 0.08
Area = 562500 m2
Question 9.
A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in her field, which is 10 m in diameter and 2 m deep. If water flows through the pipe at the rate of 3 km/h, in how much time will the tank be filled?
Answer:
As we know that 1m = 100cm
Therefore,
Radius (r1) of circular end of pipe =
= 0.1 m
Area of cross-section =Ï€ × r12
= Ï€ × (0.1)2
= 0.01 π m2
Speed of water = 3 km/h
=
=
= 50 meter/min
The volume of water that flows in 1 minute from pipe = 50 × 0.01 Ï€
= 0.5Ï€ m3
The volume of water that flows in t minutes from pipe = t × 0.5Ï€ m3
Radius (r2) of circular end of cylindrical tank =
= 5 m
Depth (h2) of cylindrical tank = 2 m
Let the tank be filled completely in t minutes
The volume of water filled in the tank in t minutes is equal to the volume of water flowed in t minutes from the pipe
The volume of water that flows in t minutes from pipe = Volume of water in the tank
t× 0.5Ï€ = Ï€ ×(r2)2 × h2
t× 0.5 = (5)2 ×2
t = 100
Hence, the cylindrical tank will be filled in 100 minutes.
Exercise 13.4
Question 1.A drinking glass is in the shape of a frustum of acone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass
Answer:Given:
Radius (r1) [Upper base] = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAAhCAMAAAAieUHKAAAAAXNSR0IArs4c6QAAAEtQTFRFAAAAAAAAAAA6AABmADqQAGa2OgAAOgA6OjoAOpDbZgAAZgA6ZgBmZrbbZrb/kDoAkDo6kGaQkNv/tv//25A6/7Zm/9uQ//+2///bjaKtswAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAYklEQVQoU42OSxKAIAxDGxX/gPK//0mlZcaNLMzmTdO0E6Kv0mzYLNcqDNoyoyrMfPpi9U0BrEmCsq9BjL7zrm/JOfA7/wbzDqja43AUByd2WhrDJoh1zVMDT9EQnwGtaEcP+ZEDaWW1cQgAAAAASUVORK5CYII=)
= 2 cm
Radius (r2) [Lower base] =
= 1 cm
Capacity of glass = Volume of frustum of cone
=
h (r12 + r22 + r1r2)
=
h [(2)2 + (1)2 + (2) (1)]
=
*
* 14 [4 + 1 + 2]
= ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABYAAAAiCAMAAABsgdmyAAAAAXNSR0IArs4c6QAAADxQTFRFAAAAAAAAAAA6ADqQAGa2OgAAOgA6OpDbZgAAZgA6Zrb/kDoAkDo6kNv/tmYA25A6/7Zm/9uQ//+2///bLqo58QAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAlElEQVQ4T71R2xaDIAxr1XmBgQ7+/1+XFmVDePHMs7wIAZLYEN2ClZknKEWbvmFm7ik+HW2dI1oHeo0OpxNO1FC2YTY7ZYi8sNFiFRa88MPntmf+orMHRB6mEIlWHwstAuKR1kiwB5RgYHTf3/LrF0Xg28BFkX9cPyZWeuVK6wgy7hpaaYVUaQPaV4lc6YlvB/xpNG/3twXoLDJyMgAAAABJRU5ErkJggg==)
= 102
cm3
Hence, the capacity of the glass = 102
cm3
Question 2.The slant height of a frustum of a cone is 4 cm and the perimeters (circumference) of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum
Answer:According to the question,
Perimeter of upper circular end of frustum = 18 cm
[2Ï€r1 =18]
r1 = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAiCAMAAAC6JAPXAAAAAXNSR0IArs4c6QAAAE5QTFRFAAAAAAAAAABmAGa2OgAAOgA6OgBmOjqQOpDbZgAAZgA6Zrb/kDoAkDo6kNvbkNv/tmYAtrb/tv//25A625Bm2////7Zm/9uQ//+2///bvxkWKwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAa0lEQVQoU52P2w6AIAxDN+8KOu+D//9RO/BZEhseltEuPUQFacM8mCeMjrRxmO5qJ1ptqa1Q9LV9Hwwlo3kneYcxr6JnS/6QnU36kf2OoFOSo1MOl4EozvKW1/7SDqBAq/HCBlzg31wthSoPUEoDuaZ5Rs0AAAAASUVORK5CYII=)
Perimeter of lower end of frustum = 6 cm
2Ï€r2 = 6
r2 = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAiCAMAAAC6JAPXAAAAAXNSR0IArs4c6QAAAE5QTFRFAAAAAAAAAAA6AABmAGa2OgAAOgA6OgBmOjqQOpDbZgA6Zrb/kDoAkDo6kNvbkNv/tmYAtrb/tv//25A625Bm2////7Zm/9uQ//+2///baDatJAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAZ0lEQVQoU5WPyQ6AIAxEp+4KCoqy/P+PSgN68dA46eGly7QFBDkimrknrQa+MbU9DJWSViVliSoBoWeMi6mE10Va96nn9UW/J6WBpIuxwmmcgn2+5LOzwnSF8WByXY64l7c8tZvgfAMnxgOcWRCb1QAAAABJRU5ErkJggg==)
Slant height (l) of frustum = 4 cm
CSA of frustum = π (r1 + r2) l
= π (
+
) * 4
= 12 * 4
= 48 cm2
Question 3.A fez, the cap used by the Turks, is shaped like the frustum of a cone (see Fig. 13.24). If its radius on the open side is 10 cm, the radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it.
![](data:image/png;base64,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)
Answer:Given:
Radius (r2) at upper circular end = 4 cm
Radius (r1) at lower circular end = 10 cm
Slant height (l) of frustum = 15 cm
Area of material used for making the fez = CSA of frustum + Area of upper circular end
= π (r1 + r2 ) l + πr22
= Ï€ (10 + 4) ×15 + Ï€ (4)2
= Ï€ (14) × 15 + 16Ï€
= 210Ï€ + 16Ï€
= ![](data:image/png;base64,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)
= 710
cm2
Hence, the area of material used= 710
cm2.
Question 4.A container, opened from the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20cm, respectively. Find the cost of the milk which can completely fill the container, at the rate of Rs 20 per litre. Also find the cost of metal sheet used to make the container, if it costs Rs 8 per 100 cm2 (Take π = 3.14)
Answer:![](data:image/png;base64,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)
Radius (r1) of upper end of container = 20 cm
Radius (r2) of lower end of container = 8 cm
Height (h) of container = 16 cm
Slant height (l) of frustum = √((r1 - r2)2 + h2),
where r1 and r2 (r1 > r2) are radii of frustum and h is height of frustum
= ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJIAAAAbCAMAAACgGiasAAAAAXNSR0IArs4c6QAAAGBQTFRFAAAAAAAAAAA6AABmADqQAGa2OgAAOgA6OjqQOpDbZgAAZgBmZjqQZrb/kDoAkDo6kDpmkNv/tmYAtmY6ttuQtv//25A625Bm27Zm29uQ2//b2////7Zm/9uQ//+2///bTkB0ZAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABnElEQVRYR+1Va0/DMAxsKBQ2RmCBhlfb/P9/Oedpp3EiJKRRiebTtF3O5/PF67r97A78Bwe02MZBr83zeWvGL6fvrUma7pyi+d6bNcEUbyq+/QTj24tI+KhFP7I91zHqCS4sx6BDgZzlyJI0MEZaknQSErQNvuPiNDDmBXqY+lF7a9TBNZZV8HQtTC4JkaDI8jGnhZkffJSCJF+dk9TCrFxKbEZWPCIVS4wObVBJCgcXFReyCabrapLWvXFsZf+vIcpE0jzEuanDcvrCnLAYK7YmSfVvgxC34UnzbIgxUlhTl8fwHLCckTh/WKPk+bEYlRZtgYQaIAcTzrERzPvZWR9WAMlSNlsgiT3SLK3nX3HJSHc5zZhjyzDuNeg4o+SAIom0Vn+mMeIToJjG4EK5SM2yZRgj+xH/TeI9bRub0ujYeK8wrSzZWOBL4Nj8rwEDWUdMkORXqttO5aliavF2MZpEm41iwLMPj4aM2QP3Q1gZkhYml4RIiDbQMnuXVMwxEDcOzu/b63xb+TO7TvFKFd3Y938qbC++O/AbBy5KCiBsZD668QAAAABJRU5ErkJggg==)
= ![](data:image/png;base64,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)
= 20 cm
The capacity of container = Volume of a frustum
=
h (r12 + r22 + r1r2)
=
× 3.14 × 16 × [(20)2 + (8)2 + (20) (8)]
=
× 3.14 × 16 (400 + 64 + 160)
=
× 3.14 × 16 × 624
= 10449.92 cm3
= 10.45 litres
Cost of 1 litre milk = Rs 20
Cost of 10.45 litres milk = 10.45 × 20
= Rs 209
Area of metal sheet used to make the container = Curved surface area of frustum + area of lower base
= π (r1 + r2) l + πr22
= π (20 + 8) 20 + π (8)2
= 560 π + 64 π
= 624 π cm2
Cost of 100 cm2 metal sheet = Rs 8
Cost of 624 π cm2 metal sheet = ![](data:image/png;base64,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)
= 156.75 Rs.
Question 5.A metallic right circular cone 20 cm high and whose vertical angle is 60° is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter
find the length of the wire
Answer:The figure is given below:
![](data:image/png;base64,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)
In ΔAEG,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASAAAAA3CAYAAACsJ5cXAAASrElEQVR4Xu3dCbR2UTkH8H9JVCQkUULJlCEZSpG5gZKQyFyJzKKBFaWQVJIhQ5FGY1RCmWcqQ6jIPKRolLFCtX7Wflq7s85773nf+977nnu/vdf61vd9956z9z7P2ft/nuf/DPsyGW1IYEhgSOBAErjMgcYdww4JDAkMCWQA0MVZBJdPcuskVzjmkf42yR8l+a+L8+h7f5K3TvKpSd4pyZsl+cEkf7H3UXbv8DpJPjHJ2ya5bJJvS/Kvu3d3uDsHAB1O9vseGQDdIslVk3xTkrdJcu8k/9wN9KZJPjzJxyf5ziQPTPJ/+57IBegPAN08ye2aTN87yd9Pnustk/xAkj9J8oAzfmbA+BFJ7p7kTZJ8UJJXnfEc9jLcAKC9iHFVndgYf5zk35J8SJLXzMzuM5I8IcnXJvnWVc1+XZP53ra5PzTJ/06mduMkv53kwQ0IznrmgOfXk/xdks8668H3Nd4AoH1Jcj39fGCS329mw503TMsX9B+SPD/JDYY5Nisl2uIzkvxuki+ZuYLp8+7NNHvtAV7/OyT5syRfluSxBxh/L0MOANqLGFfViQXJvPr0JD+2YWbvkeTPk/xTkvdN8opVPcE6JnPtJH+a5DOTPGkdU3qjWTC3fybJ+7QPyQqnePyUBgAdL6PzdoVF+XFJrpfkrzdM3qZ6XJJfalzHIb7ga5cr/ueHk8zxP2uYO+IZl3du+R9CHAC0hqW0vzks4X8ul+QXkjDVfEWZGHMNgFngyM0XJ3lix4NYN7xE75Lkyc0M4S2yaa+ShKft55K8rnXs+k9IQvP6xUbcMmF47fRBA/uRJP9zwrk8pdMGrp/ko5sXi0kKbGs+02HwKeb3bkle3vgxWiQZTfmfayb55CaXRyd59RGvj4nmWh7H/27P+B/d9fr6lPa7ub6YWUxB5nLflvA/c8/kQ0MGveNh23e5v9U6AGivslxDZ8fxPzb9vZLcI8kdk/zUzKTxQw9N8pwkD0ny70lumORjk3xzux4wAaVXNkC5bZKPalyETUW7+uJGkroFEAAXwPSbSVx/q7YhaWmfluSzG4D13pwlc+GOfmGbC5D5yAaczCdjAcanJ/mJJN8987xMLd6sRyb58SRXb2YXLRHJ3PM/wPJmjV9D3iOmEfnT9laN3P/PJN/SQI138quaDAGSvsjxEc2LRj59X96V5/mXJJwGfXvHZkKb2xz/M/dMd2iu+19Jct+us23f5V7X+dCA9irOg3dW/I+F3vMWV2oeMRrKS5Lcb4N5xtygHT0oycO6p7FOgBHg8gU1znckuUbTfn65cU42Fu+acQDSb7WP3Fe0/mzC5yb5vbapbFDtyo1vuWeSH20/23UuT2vzA0rVhCWYjxCE3tx81yS/2kC5xnXP5zbzC1D2crxbkoc37Qeg0faYu33zs6c28BUGQV7ARCzR5zWTDnn8la0vXsq5vt6+aXP6mAIn0KB5zvE/xz0TIKJtarSkbd7l3hf4AKC9i/SgHTJBmDVf076c/WRekOSZR3i8rpjk15qmYrP27numxOe0uCILnEZkw9KKmFRc0mXK0YB8oY2lMSOYeo9K8sHt54AAOFUTPCmexj00j5PMhSnF/Ovb45vG0QMQ04YGCDA8b+9mZxY9ZsL/AFvPy1QSJ0TDYqbhYqoBGrwRTZSMytxi9gIMMqXNCCCsvvybtknr7Psis59P8gFJnj15Hh8DvzdOrzEueSZOh79p/W37Lve+uAcA7V2kB+uw+B/2vUXbcw1LJoXT8SVmOtlENpMFKiDP15j5xeSirWjijGgWtz9mPNqXjSFS11f/q5vnrY/c1f9fNjCz+XedC8+fZ2c2Vit3Opf6XbufM6WYZndK8kMTAX1f0xiBSPFS/XMzGd0DAIQyVPuYJDQwmty3HyH0vi/yox3hrP6quwcYkcP7T56H1sK0BCLT+J+TPNOSd7lkHW11zQCgrcS16ovF8/xBMxmYDts2JDPtgbrPTGPCID8FNc6F+QMoGtPLGqezZDymiQ10y8nFH9Y2lU0LoPY5l/dqqSfMQh7CakIUbpPk/SZpFpsAq+6zZ2gmmufoiW2aFgCd9nmUbGitND7gUebhUbKliQmhwP/Q0vq26zPt8i6XvO9jrxkAdKyIzs0FX5rku5J8UZLv33LWQIFJxBwBZDw2x7XiKHztl4yHmGVq4JZED/ftG5N8QzNLgNo+5yJdgUmKUwKWGmIaWNMWmYW9uVnxP0xOQDhtPHnupTn1cVbVp81MM1oiw7dL8rwknr/neUq2SGnR2H3zkcBLMaUAUbUlz/T5jWifPtO27/K4tbH49wOAFotq9RcW/zPHGRw3eZvmN9oXWI7RJnd13w/ytdz5f3jcAElu1Hgibm0kdDX8CJNCLttNGhjsOhdmDI2tGm0GmEkk5WXznHggXBPOCSBOtUUmEfMKwctrZ074rdJOvr6ZqX4P0G6a5HeamWlsphF+ZkkrzU/KzLO6G4pbq+dxHZnhqWiJzOLif7wvKRnFox31TMX/TJ9p23e55NkWXTMAaJGYVn9R8T82yZQDWTr572l8gw01F5joy8t7UwQmNzQuZMpRbBqPaUVbEl/ExKtmc+FNuNO5iLVd5sL0mXJf/g9sEPPGoL34w4TCCakKQJOpZj8IIWC24X/IASdGs9QAGiAAuF+QBHjSPHkEgRtOSVyQEIO5NpUhE5A2c60k/9jdcP9G+gMMXJs58L7Vh4JDAd8l4RiA4pDKdNz0TOQO6Gh9/TMZdtt3uXRNHXvdRQIgL4cH5WrNpvYicA6XQqvESN4fi3yXBkhoUQCh3wwlVybFT7aOizPADQGOJc2mpwXZdDQcjTeJFsWz1Jsgu8xljovirrY5aSsCDIEF7Yb7n3kjZoi2UhofDxWi3KanFTDbmGS1jpiovF9c14CD94xcSqMDPMCIWdent8zJ0PMDBUGSgLLMKaU2yINZ7F3wKPoo4JcKgMiSU4As3VdE+C7PtMu7XPK+F11zUQAI+vNcUGP9zR62Ge9yRDrCIgGt+CLPzHNhEb9zU8FtBuYGU8Dvtk2x8DWl1XCZ40WQqb7yPzvx9uBzbEQBbVMP0pzIauPiinjnBB9W5LTNNnWb62MfcwFwNiuPknAAph7TS0P8cn3bvOQlpUHgHw1GcOB9GmC6t3d1M4H8Xz82r7inavYTDo6JgyA+SobucT3QAJDWrUhsZpYASAGGNCGgjTMrzx5NTzwRbgg40hYLQHd5pm3f5V63xCYA8hVFtPW1ZPY68B478ww2m1gV9nttOqq0xeUljrZcArgYZopNRhPaVGdGlLJk1iUgh/fBkxT/IwrYONzOR92/j7lUH0BvrgibuCUmLOCuFAUb2ea2fqbpIdYbLYUW9aINYn3zJkPjHSXDuh1A+4gorSHUQcPpACTzmqZ7iB0S1Ol3c3zdts+0zbtcvpIWXLkJgITrU/l6VXxBdwe5RJi/+BVfnd4rQPX21aOGj3ZYCfBCiYb2pa8NdtgZjdFXIYE5APKzMl/WDkDUeB4A3oppvgwApRXNFZNahfAvkUlYTwhgms40/ucSEcF4zE0SmAMgtrBYDJ6AtQMQAlSIuyAuKQHVPBePylsMADro4scfiabmCkdgi8lh0i0x2w468TH42UigByCbFavP3VclB2Q8a2zdcr/6v/uYNtyH7GZMvQUmBqFvSECeAb9nZyPT2M5KFLBh/Ux0qgTFbVu5Pd9zJrS/3NLs/mmy4LbjjOt3l4BgPiR5Ne8Medqvpd17H3eeewn0ACQCltsRCCnVwGbnutREa1awmUXkS8ZM4wnREGj+j5EHYNWQZbQU7nF5MrwqgqwkMgI17kf3idCkpm/TfFmNT/OZBpOJn+ClUGJBvMZJmucFyP7etfnii90YX/5dJTjuu5ASmDPBbFj1UabBUSUAIMVtKQxddGmx8ECA63CaoOe+SpITcs6t2XsjuHh5KlyzJAK35mFsrk7eugLC+h1WH+ApqzDNl9n2RSJOheSLy9i1AR7u0+k8d+1v3DckcCEksAsA2dyCp2gs4hEKNLgtmTwydBHAfRNIhSymkk8LKPFWAa1NJzhsEjTtRhSroK+pCaewFNNrm6TAtb9QcSmjDQmsRQKUiRO3XQDIoMhF3A/w8W8h4TQjxZ0E/wnkmgMgeSsVBVu/B0AAClgsSeBzX0WESqKbht8rdSAKWja3SNeLcu7VAKATL/fRwR4lcFAAEoUrF0XAogPbJOsJlir3/WkDUGX+4lWmiX9AjhdvThPbo/xHV0MCQwInlcBSDUjkpyhN2oSozZ9uhCoQqsTCOmvqLDSgyvzlav/CiRCEtAtOFE4gp2e0IYEhgZVKYCkAyVeRZMdE4kYFPEymPk5oCkA4nSrLWRzQvkywykpWUrMKpRMxbxXzS+StHKN9NG7kqk+za3+AkAz6UhG79jXuGxK4MBKYAyBEsc3LtV7HgcgilkjIE8Qdzz0/LdtQFflKA3JPZTjvG4C8AJ4p5SEU7a6mVu51m8dp0xEv2748fJMqdCfxgtEcl+ZNbTu/cf2QwLmVwBwAcTvLKhe/I8YGyayWrpooNqPSBLQCgFMV5vyc+95pDPgfGcP+XXVxheDjh5hGiOq+8ZjJ+KVR1SkJSwSqXq70C+5tTaEpLv5PminIvqS/cc26JGDdWYMSQ49qPobWa19jaF1PMmazUQKbcsGYMMoyKJ8pc1ntk4pyZubQbGT8OhVAk3PlqA9Bhthx/5YiIZJa9DPzTPlJnil/1LMFGAIeBRTidHBMOB3nKC1pzDB9I8DNBYipVjcW4hLprf8aAKTyn3Wj7Ie/lW11TlbfZO7jAcWTqeUzkl3X/27fMMOj6gFJZ1AOQMmE/pSBupm7W7CiolTMi4oHElQo8K4/5uS0RGL+FqD5mcNoF08CUoTwejQdFQ/m1hWgEpfmNA8ftW0CWi+exM7RE12UgmTnSORjqltKQHVE52IpHuZgwLkmDo2GLjxDbuDQgrcU8qEuHwB0KMmPcZdKgHkltEJSMzNrrjlOWS0oHKI8wMphXDrGuO5AEhgAdCDBj2EXS0DMGW6RZrPJzK6jlOUwTuPCFg80Ljx7CQwAOnuZjxGXS6D4n5e2Au1zaTUcIJwXTlaVED13iKIQClH7OE3akTrOeEpc0aZUHTmG4tbUL1KamFNlU2gHr7DyNK7leBEichYc6HJJrvTKAUArfTFjWv8vgaP4H17QOyT5ulbe5YEbaj5LkqYZSV6WpMxcc18dA8TD1jf98sRKuFbqF1DJBABu4sx6gpt3FzeFf/I7zhDH+dDY+gDZ8To3SGAA0Fgaa5ZA8T/CLRDR1YRdiPei2QhE3XQwohAPcWdqnKtBVa1MNkAkZKRvYsschyNUpJrgWi5+5X3LzS/52pFCD2rhKnWtPQWM7jG0oOOX1gCg42U0rjicBPA/6jrhf8SPTVuBgPPMFNDrTSSajFQduYuK7PUmkeBVdaLqpNC+X4G2zDmBtNW+PInja5y+QgMSHCnh2Xj67o92ZhLKJugj9A8nwZWPPABo5S/oEp7elZpmI9pe0OomroZ284AGQBUYS2xVBE/NqOnZZbxqchWZS1Neh9nlwD9/ywGk5ahz1TdR+H7vhFGxRzIBaFvikZSIYX6NgMgFi3cA0AIhjUsOIoEqq3tU/I+JMcVoSg4V7Ot/q9gJSKZF6eoIY0czSzGaNocx0JxoXRrNSeS/7IACQSQzUtvPxRzRzuRNSjaeI8EPIsDzMOgAoPPwli7NOd655RUeFf9DMvgZidLMMICjVb0ogMGb1ZtISGmlcdUhR0rPNfui6qMzp/QB3IAc3qmqI8iHXFpE79J8i8c89QCgsSzWKgFaBjPqqPgf2oyEae7yW3dnuFe9KN6p6YEFTs9lkhX/I71DPqEcR2DGWyYvsZqUJCS3E3bxRlWNk3fMuCPt4wQraADQCYQ3bj01CRT/I2aHR2oT/yM1g8dJjSrlX+rUkTKz5JDhgKpZ747sFreDA9IvHkelB656FR0AluTranIbnSmvn0rIdvqLEIFpSZq6h3mmVMw4fmhoQKe2SUbHpycBhxSIw1EEr/dG1Yhyv8TvAAwVG2TJ92aW6xTRUxNcyd7SUrjYudMViGNSMbOYZDxfgMxZ6zSgHvBwTLQkbvXqB/gw+YBjX5SPduQIKmaZc/JGGwA01sA5kYDyG/drpLHSKs6UAwjMo9r4+BemEg0JDwMsaBpzjascgf38Rg4r0YvDUbtczSpF/o2jhpQI5qs1EwyZzOvlfnE/tDBes2lkM01JyZpHNfBDdnsG+WrGHG2BBIYJtkBI45IhgSGB05HAAKDTkevodUhgSGCBBAYALRDSuGRIYEjgdCQwAOh05Dp6HRIYElgggQFAC4Q0LhkSGBI4HQkMADoduY5ehwSGBBZI4PWXFll05qJWXAAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
⇒ EG = tan 300 × AG
⇒ EG = (1/√3)× 10 cm [tan 30° = 1/√3]
![](data:image/png;base64,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)
⇒ EG = ![](data:image/png;base64,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)
In ΔABD,
= tan 30o
⇒ BD = tan 300 × AD
⇒ BD =(1/√3)× 20 cm
⇒ BD = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAjCAMAAACqw3pQAAAAAXNSR0IArs4c6QAAAGBQTFRFAAAAAAAAAAA6ADqQAGa2OgAAOgA6Ojo6OjqQOma2OpDbZgAAZgA6Zma2ZpDbZrb/kDoAkDo6kGaQkLaQkNv/tmYAtmZmtv//25A625Bm2/+22////7Zm/9uQ//+2///booJWRwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAArElEQVQoU7VRyw7CMAxL2HhusAEFCuvj//+SOF2rwgmB8CWZF9uSS/QFQsfcii6OzDuZoTfkFobItuRXMgEsoRvkCCcCKxOXdIGWyGFUhIhBFAn+u0HP1RSpzEJgkfEfIKPGDyk2+2SP6+3VLezf3J1UBNXcGNHdUDzO5eI2nqZSrhbqt/odRxS1biZtTNbUEOgc6pdgbPNAKGpPROjPB32dEmvxkjX8JoV+iCf40wmZlHxbQAAAAABJRU5ErkJggg==)
⇒ BD = ![](data:image/png;base64,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)
Radius (r1) =
cm
Radius (r2) =
cm
Height (h) = 10 cm
Volume of frustum = (1/3)Ï€h (r12 + r22 + r1r2)
=
x π x 10 [(
)2 + (
)2 +
]
=
[
+
+
]
=
x
x ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABYAAAAiCAMAAABsgdmyAAAAAXNSR0IArs4c6QAAAD9QTFRFAAAAAAAAAAA6AGa2OgAAOgA6OpDbZgAAZgA6Zrb/kDoAkDo6kGaQkNv/tmYA25A62////7Zm/9uQ//+2///bsFeg8QAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAi0lEQVQ4T71S2Q6AIAwr4n0f/P+3uk5M1PliNPaBkqV0owB8gVA7gQe4ycVx49COCE0HDB5ztrM2nES8FJUI88isqngpZel95F1syyq2JnQWiIG2VI7OKneuOvAXt3/kwaAsHln8Ix5kSj7lGQx9Shi8gcZtD9SM+4p+e4Ubk9TU+R9mW8b9gK/CWQHtbgXe4Aut8wAAAABJRU5ErkJggg==)
=
cm3
Radius (r) of wire =
x
=
cm
Let the length of wire be l.
Volume of wire = Area of cross-section × Length
= (Ï€r2) (l)
= π x (
)2 * l
Volume of frustum = Volume of wire
=
x (
)2 * l
x 1024 = l
l = 796444.44 cm
= 7964.44 meters
A drinking glass is in the shape of a frustum of acone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass
Answer:
Given:
Radius (r1) [Upper base] =
= 2 cm
Radius (r2) [Lower base] = = 1 cm
Capacity of glass = Volume of frustum of cone
= h (r12 + r22 + r1r2)
= h [(2)2 + (1)2 + (2) (1)]
= *
* 14 [4 + 1 + 2]
=
= 102 cm3
Hence, the capacity of the glass = 102 cm3
Question 2.
The slant height of a frustum of a cone is 4 cm and the perimeters (circumference) of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum
Answer:
According to the question,
Perimeter of upper circular end of frustum = 18 cm
[2Ï€r1 =18]
r1 =
Perimeter of lower end of frustum = 6 cm
2Ï€r2 = 6
r2 =
Slant height (l) of frustum = 4 cm
CSA of frustum = π (r1 + r2) l
= π (+
) * 4
= 12 * 4
= 48 cm2
Question 3.
A fez, the cap used by the Turks, is shaped like the frustum of a cone (see Fig. 13.24). If its radius on the open side is 10 cm, the radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it.
Answer:
Given:
Radius (r2) at upper circular end = 4 cm
Radius (r1) at lower circular end = 10 cm
Slant height (l) of frustum = 15 cm
Area of material used for making the fez = CSA of frustum + Area of upper circular end
= π (r1 + r2 ) l + πr22
= Ï€ (10 + 4) ×15 + Ï€ (4)2
= Ï€ (14) × 15 + 16Ï€
= 210Ï€ + 16Ï€
=
= 710 cm2
Hence, the area of material used= 710 cm2.
Question 4.
A container, opened from the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20cm, respectively. Find the cost of the milk which can completely fill the container, at the rate of Rs 20 per litre. Also find the cost of metal sheet used to make the container, if it costs Rs 8 per 100 cm2 (Take π = 3.14)
Answer:
Radius (r1) of upper end of container = 20 cm
Radius (r2) of lower end of container = 8 cm
Height (h) of container = 16 cm
Slant height (l) of frustum = √((r1 - r2)2 + h2),
where r1 and r2 (r1 > r2) are radii of frustum and h is height of frustum
=
=
= 20 cm
The capacity of container = Volume of a frustum
= h (r12 + r22 + r1r2)
= × 3.14 × 16 × [(20)2 + (8)2 + (20) (8)]
= × 3.14 × 16 (400 + 64 + 160)
= × 3.14 × 16 × 624
= 10449.92 cm3
= 10.45 litres
Cost of 1 litre milk = Rs 20
Cost of 10.45 litres milk = 10.45 × 20
= Rs 209
Area of metal sheet used to make the container = Curved surface area of frustum + area of lower base
= π (r1 + r2) l + πr22
= π (20 + 8) 20 + π (8)2
= 560 π + 64 π
= 624 π cm2
Cost of 100 cm2 metal sheet = Rs 8
Cost of 624 π cm2 metal sheet =
= 156.75 Rs.
Question 5.
A metallic right circular cone 20 cm high and whose vertical angle is 60° is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter find the length of the wire
Answer:
The figure is given below:
In ΔAEG,
⇒ EG = tan 300 × AG
⇒ EG = (1/√3)× 10 cm [tan 30° = 1/√3]
⇒ EG =
In ΔABD,
= tan 30o
⇒ BD = tan 300 × AD
⇒ BD =(1/√3)× 20 cm
⇒ BD =
⇒ BD =
Radius (r1) = cm
Radius (r2) = cm
Height (h) = 10 cm
Volume of frustum = (1/3)Ï€h (r12 + r22 + r1r2)
= x π x 10 [(
)2 + (
)2 +
]
= [
+
+
]
= x
x
= cm3
Radius (r) of wire = x
=
cm
Let the length of wire be l.
Volume of wire = Area of cross-section × Length
= (Ï€r2) (l)
= π x ()2 * l
Volume of frustum = Volume of wire
=
x (
)2 * l
x 1024 = l
l = 796444.44 cm
= 7964.44 meters
Exercise 13.5
Question 1.A copper wire, 3 mm in diameter, is wound about a cylinder whose length is 12 cm, and diameter 10 cm, so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming the density of copper to be 8.88 g per cm3
Answer:We know that,
No. of rounds = ![](data:image/png;base64,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)
=
= 40 rounds
Length of wire required in 1 round = Circumference of base of cylinder
= 2Ï€r
= 2Ï€ × 5
= 10Ï€
Length of wire in 40 rounds = 40 × 10Ï€
= ![](data:image/png;base64,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)
=
= 12.57 cm
Radius of wire =
= 0.15 cm
Volume of wire = Area of cross-section of wire × Length of wire
= Ï€(0.15)2 × 1257.14
= 88.898 cm3
Mass = Volume × Density
= 88.898 × 8.88
= 789.41 gm
Question 2.A right triangle, whose sides are 3 cm and 4 cm (other than hypotenuse) is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed. (Choose the value of π as found appropriate)
Answer:![](data:image/png;base64,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)
Let ABC be the triangle, with
AB = 3 cm
BC = 4 cm
and is revolved around hypotenuse.
By Pythagoras theorem,
Hypotenuse, AC = ![](data:image/png;base64,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)
= 5 cm
Area of ΔABC =
× AB × BC
× AC × OB =
× 3 × 4
OB =
= 2.4 cm
Volume of double cone = Volume of cone 1 + Volume of cone 2
=
r2h1 +
r2h2
=
Ï€r2 (h1 + h2)
=
Ï€r2 (OA + OC)
=
× 3.14 × (2.4)2 (5)
= 30.14 cm3
Surface area of double cone = Surface area of cone 1 + Surface area of cone 2
= πrl1 + πrl2
l1 = AB = 3cm
l2 = BC = 4 cm
= πr [3 + 4]
= 3.14 × 2.4 × 7
= 52.75 cm2
Question 3.A cistern, internally measuring 150 cm × 120 cm × 110 cm, has 129600 cm3 of water in it. Porous bricks are placed in the water until the cistern is full to the brim. Each brick absorbs one-seventeenth of its own volume of water. How many bricks can be put in without overflowing the water, each brick being 22.5 cm × 7.5 cm × 6.5 cm?
Answer:According to the question:
Volume of cistern = 150 × 120 × 110
[Volume of cube = lbh where l, b and h are length, breadth and height respectively]
= 1980000 cm3
Volume to be filled in cistern = 1980000 - 129600
= 1850400 cm3
Let n numbers of porous bricks were placed in the cistern
Volume of n bricks = n × 22.5 × 7.5 × 6.5
= 1096.875n
As each brick absorbs one-seventeenth of its volume, therefore, volume absorbed by these bricks =
(1096.875)
1850400 +
(1096.875) = (1096.875)n
1850400 =
(1096.875)
n = 1792.41
Question 4.In one fortnight of a given month, there was a rainfall of 10 cm in a river valley. If the area of the valley is 7280 km2, show that the total rainfall was approximately equivalent to the addition to the normal water of three rivers each 1072 km long, 75 m wide and 3 m deep.
Answer:Area of the valley = 7280 km2
If there was a rainfall of 10 cm in the valley then amount of rainfall in the valley = area of the valley × 10 cm
Amount of rainfall in the valley = 7280 km2× 10 cm
[As 1 km = 1000 m = 100000 cm ]
![](data:image/png;base64,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)
Amount of rainfall in one day ![](data:image/png;base64,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)
= 0.728 km3 ------ [i]
Length of each river, l = 1072 km
The breadth of each river, b = 75 m
![](data:image/png;base64,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)
Depth of each river, h = 3 m
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIoAAAAzCAYAAABIQpDZAAAG+UlEQVR4Xu2cZag1VRSGn8/uRBETFbG7O0BUDFRMVMQOLETEAMXABEXFwAQDRBQMbMFWbOwWGxULu5VH1oZxuN+959yZOU6tPxfOWbP32Wu/s/a7Yt8p9NJbYAALTBlAp1fpLUAPlB4EA1mgC0CZBtgRmAuYD5gZWBS4EbhnICv1Sq33KL4IhwJ3Au9n9nsz4F7gdOCUHgcTW6DtHmVZ4AXgDmAP4LcwyYzAs8DiwCrAOxObqtsabQfKOsCTwIfAisB3sd3TxedrABsDj3QbBhOvvu1AkZ/sDnyUA4M85XlgEWCF3LE0sdU6qNF2oExtSz1ungGuB/YF/u7g3g+15C4CZXrgWmBeYBfg26Es1lHlrgBlWuBgYH5AXvIccBrwe0f3fehldwUoWcOYSzkfmAc4HHh3aKt18IEuAsVtnhV4KpJwG/RkdmLkdxUoWuZc4BjgKmD/iU1VSGNJYClg4RjFORtFoNsOlGUAs7BGNymHknb8AOBy4FVgdeDXQlAY/2FDdCOtAyNLvGeFc1UydJuBMkMcL27QWcDxOQsmoLwcBDdlbSsxNLAg8AZwWERdVc1TybhtBophsLmSleNNviJnQes8JwIXAUdUYt3/DrpllBLMEAuYRkmbgeJGyEG+Bq7O7coswNNBZk3zfzyCXTsPECyG5z+NYL5Sp2g7UPQqxwKm8q8DPghwnBGp+31GVBC0tvQ48F6UFErdxFEM1nagJBuaaLP4tzTwI/Ag8OIIIw9rSq8BR+a825rApsDdgFwpiZ95RNkz80V8KMfZLkL7+zL67qFeapPIMt+WeaY0DHUFKKUZbJIDucFuoAVIoyyPvr2igq23uxDYPo7JLSIC+xK4BdgowPQ9IEAsaAosn7GnxvaJh2PctcNzCrRSj9NBgLJcuE07xCYrPwfqfau6KJfGG28YrhgeexT+GYRbj6O3+wo4CpDPLAS8BdwEnBQV8GQ7ifjW4Z0uy5QiBNFLkXm+pExDDwKUMueb2lgnj2KS/2EOu+fkSWaBLRX49u8aniIR2p2jX0YdAeMRad5n8/AgEmA9R1Y8ktYDVg1wpe98mV8Bzo5orrQl90ApzZRjDiRQlgg+4Rv+BHDXOMm9BYA/AI+dc4BtIxmYjZJmiohNcnxIblY5j9GcZQm/L03qApTSFlTDgfQg5nD8u1jwlJuBh8b5rVa7H40ozaxuVjyi9Bq7hWfKfmdFXK9lkjGfiS5kmh4ohcw30MPXBP/YMDiJPOV+YIcgoWMNkqIkG8PlMlkRCJYe5I6G+0n0NB5ftn7aUlGqDAKUnsxO3uTpmHgAODqGmSOOIknomfDvTYhEbtNMRklGPEZJb+amF3juyfpxTKWv5SweNwLyseAvf0UaYPIriCcHAUrhSTo8QDomDH29MqLoLWz21qPcGhVlOYUENYlRkhtufuSXzOeG1d4e0COZk8nKxQEeQ2QLnHojQWXEWVh6oBQ24bgDmPm9ALCK/WnGo3iFxO/s/j8IkLMYGivphoA8RJ2sLB/8xNBYUpyVKwE9mN7Jayp6Hb1SKdIUoKwWuQXfwm+msnIJ3E7AD4Bk0FDR3thsxjP7aNX6znVCHB9unsdAkq2AbSKl720AM8VJ5gwAWXrIh8Um0pLnyNtB72WaQRB+BtyQm7MQYOoKFLOV+0Wzj2+GQPG3emanNy+7cA14aqS4kwFtddS1216QDxWr1i+0KXV8uM5A2TvyCaanPWsla2MBZbbIHRwH3J4zsh5IwrhWJlysWr+O+1z4N9UVKPmFedZODSheubC1UB7wSe5B0+D2fuidTIUrVesX3pQ6DtAGoJjuFkQrBT/J2nn24Ch6JT2UUrV+Hfe58G9qOlAkreYM5o5sZDaU1DipSGZK3BBUqVLfIl8rpelASUDwtt+6uQSUG5ZCTSMgPY5idbUq/VJyFnVEWtOBYmRjvkFuMh5Q5CoSYaVKfdsuWylNB4r3h914m3TGA4r3abJAqUp/rNC9FcBpOlASWZWD2CRtiT4r6eixFdLWQi9dmYCrSr/Uim2dENZ0oJiyNrNpc5AcJM8R5DD2xgogk3ZKlfp5Ml2nvS70W5oOFH+/BTL/xZZAsXE6K94xlrxahPPGoFKlfqOuiQ6DnKYDxbV6C9D+C2sdn+cWb8fY24DVWGsno9Afxv6N0W0DUPQktv9ZlvdmYFbkLXaSmcLXsyhV6zdm84f5oU0Cio06ltnzkYVrMIWfejCS+/dzm4PkL6bws59XqT+M/RujW2egWJOxr8KOMNPvhsLWa14HvONis3Iirxb6vOdiXce7xIr/JMf6j/eKbT3IStX6jQHAoD+0zkAZdA293ggs0ANlBEZuwxQ9UNqwiyNYQw+UERi5DVP0QGnDLo5gDT1QRmDkNkzxD3fxxkNIdXiWAAAAAElFTkSuQmCC)
The volume of each river = l × b × h
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPoAAAAzCAYAAAC+CxVBAAAKFElEQVR4Xu2ddaz2SBXGf4u7BoITgrs7hOASZNFggeCuIUgI7iGwSHCX3YVdLFjQ4O5OkOAa3B3y20yT0tu+7fRr38779sw/382905kzT+eZmXPmOf0OI0ogEAjsPQKH7f0IY4CBQCBAEH1/J8G5ge/u7/BiZDkIBNFz0NqduicB3g98Gfgl8J8O0z8DvBO4KXBG4G3Az1P9UwNXAc4JPH93hj6LpccDbgacBjgDcFLgHMDrgHfN0uPEjQbRJwa0kObODHwLOMUGe/4O3Ah4L/BI4Iktdb8IHA78oJBxLWGGHLk38A7g+zUDrgG8O+H2uCUMy+kziJ6D1u7UvRzwCOBLwH9bzHY3+gPw4PR3iX5N4GLAqYDPAq8HXgT8bXeGPYulFwS+kE47twP+kXo5ccLpXMAlgO/M0vtEjQbRJwKysGZuA3y6w0c/EfA04LHA75PdEv3VwI8KG0cJ5lwB+ATwQ+CiaYHUrhOk318GuBrw4RKM7bIhiF7y2xlv2y2At3fsxg8APgp8rtZ8EL0ba/1zF04XwTqZ9dM/D5wduEjjWD/+zc30ZBB9JmALbdYj/ZWAZzXsC6LnvzCP6wYzXwvcucNFym91pieC6DMBW2CzJweeCbijN/1uif4+4NLACYFTAmcFXgN8vMCxLG2SGOnqnB64FfC7pQ3q6z+I3ofQ/vz9ocC3gTe3DEmiW54K/Dv97D38B4CHAUfvDwyjR3J84J7pGlK/XNfnCcA/R7e4xQeD6FsEe8GuvPv1KuhawG9a7LhQWgSak/Y5wK2BSwE/XtD+0roWzyOA0wH32wVhUhC9tCk0jz0PAq4LXC+zeY+lXrPdH3hu5rP7Xl1X6FNJRKOwqH7HXtzY10D0tUtB9SeNsn8y+ec5k1CxjEd9FWBGnqP8PwJPBx4CvAy4a8nglEp0j4oGjpRm/rYDQKOeXiP9CdB/Up5ogOQrtfq5UlDbMYJ6D+DiwK+Tn/rsRJSS32WXbZXg4+Et0XafUVjzwIR1M/BWEf1NwM13cfAT2HwBQBWc0XVFRvVyN+DFwNdSIFO1YZGlFKJ7V3kX4LyA/qJE1zbvJyVbs1wdeDxw49pCoL/0ljRxP5YeyJGCqg1/EvAz4FVJTOJp4HnpRXv89eddK7dP0XMn5UtbjFfrfn3gvi3jcyE9NglsXCjWVhQXeTx3UzFQ6aLYRnQ3FwN0lWquOJxKIvodgV8BHwJeke5724iuflvVlxPvrQ1EPQE8BfC+2NU3Rwqq7ltZoxO7XjwpeOw1uUNfrC40Ke6Fthj0jCR1FRsXwmYx4v6vRHJPR/Wihtto/eVTgswujHdKG3V7vCv3dHd34CWNxs0PED/jF8Yxii2lEL0J0Bs3EN0AkT6RR6qfNB707veb6XRwTPIrh0pBre/OdifgDY12q6QPI63qw5tFEcpfAJNA+oqLiUdij8PbuJoRSzOvuoguZhJZe9oWOJ+vrt/6xpb795Jxq8aiD+5NxcsbgztZ2nDcCJTJFn0rsYtE11dygpiA0dyBFHp4jPJU4AkhRwrq6cBd3UQO70vrRZJIhC5f9V6JDDfp2fEluT6dLsq1gT/nMmNEfRct/WvdHNNQ24rHTsUyBt5Ma9Vl8STwkeTXV3frI7rf+EjJuFWGu6t7qtG9VEBkJp/kfnJyLd0Yik5ocSC7RnSDZUaQT5v8pqbCS/2xOdi6AB6zuyZomxTUjC7JYITZ5+vFiPNRKdjnAtIs4ujKr+qsi+za5iJiDOIGiVBTE6etPQl8w0TYKomlrZ6BS6/fPKZ6KjJ9te3OfUqbS8atOU7z9U1eOX9aoBUTdWUHTonRJG3tGtErIis5vGLyLetAVBlFrrju+H9tQWmTFLQLVHdhg1ke7bs+NCCWqsgMajXJrt0GwiS5ZPrFJG9vPxoJ3LbwHocQ3clpFFvyjC0SzuPh1wc20OWjG1n/avLNNxFdv9NAXtuOtEkK2maebZmPrBb8Di2LS/2ZatK6s7uLGrgLkve/9MCtH6NDqjGE6IfUwciHu4huEoFEN/Cxiehn67ia65OCth3J/YySd9EG0IYkL4ipwSv9T2ME7vA5O/ljRmJW+mN9X2EJ3NrfYB9ug977rhG9CrbpQxvp9Fqo7eiuP1X/SEBVJ1cK6g6u1vu2A0le9VNNWpMejMTnHNfXSnSxC9wO0naVRDdgZLK/kdA2H9xjsgESFwBFN/VgXa4UVFGO0WqP+l6d5RQjtBL20Sk4qG//05wGVlo3cJvpxe/ajq69RoP9TpdEb15PGWgz6u5nf5Qt1r+X1icFrUNspNrnvTevnxrs93s970IbH5WO7rdM/xovMKnEL6xGaUcgcJtxZgwheknBOKFQiug9t9cczej1mVK65QvSTlyHrk8KWtU9D+Buriin/plkTwtG3k3d7CrV0fM+jWCcGnzbdWcPsh9EL3CbkeSVTzRzF6Oa36SMcydX7XbVJE+sd6Df/sEkfXVnr5c+Kah1z5Lu35XBNr+eesl0x/zKjhG1RY6rqi4SFdlz/PVR4O3YQ4HbFl7YkB19C2Yc6EKiXxm4cEtSiza725op5Pe2K0L6+xcm/90EmSZR+6SginD8OMNlNwzY47xCiWapJqt6Z6PzLkTNEmQP3Jbg0nF9lkR0Nez60X5XXPWZV2nqz78B/DH9byGVAMbEFo/QKriqDyL4pQ/175KtKY11rH1S0CNTdL3rZeirn6/DR/cqTb+8i+T1nV0Jr1l1YyWwU6Xw1sc5JOX3UOp3YRq4HUytnmUxKInoYwbojn+d9OB7Ul5wVztDpaBj7FB77+LSdBfa2jIZwmi+UtshSS1zpfBWtg1N+R1bfxOegdvB1Oox86/3mV0neu8A96CCRJ8jhVdoclJ+x9RfEv7ArYZ+EH3JqTiu76lSeO09J+V3TP1xI5znqVXjFkSfZ1LN2eqmCZuTwquNc9efE4fctleNWxA9d7osX79rwuam8DqSnJTf3Ppz5bCPfQOrxi2IPnbaLPdc14TNTeF1BAYPh6b85tZvSxFeDjVYNW5B9CWn3ri+p0rhtfeclN/c+nN/tCIXvVXjFkTPnS7L158qhbci7tCU39z6bV/vXRK9VeMWRF9y6o3ru2vC5qbwqhz0+3pDU35z6ze/gT5utNM9tWrcgujTTaRttdQ1YXNTeLU3J+U3t37ze37bwqern1XjFkRfevrl9981YXNTeO05J+U3t34z1yB/pNM+sWrcgujTTqZttLbpPjg3hXfu+tvAY2gfq8YtiD50mpRTb8oU3tyU39z65aDWfb2mjbnjmrv+5LgF0SeHdPYGp0zhzU35za0/OxgZHawatyB6xkxZsOqcKby5Kb+59ReE7Tgt/1ypz7k45NafFLcg+qRwRmOBQJkIBNHLfC9hVSAwKQJB9EnhjMYCgTIRCKKX+V7CqkBgUgSC6JPCGY0FAmUiEEQv872EVYHApAj8D+X8uGFgNWpSAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
= 0.2412 km3
Volume of three such rivers = 3 × Volume of each river
= 3 × 0.2412 km3
= 0.7236 km3 ------ [ii]
[i] and [ii] are approximately equal.
Question 5.An oil funnel made of tin sheet consists of a10 cm long cylindrical portion attached to a frustum of a cone. If the total height is 22 cm, diameter of the cylindrical portion is 8 cm and the diameter of the top of the funnel is 18 cm, find the area of the tin sheet required to make the funnel (see Fig. 13.25)
![](data:image/png;base64,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)
Answer:Given:
Radius (r1) of upper circular end of frustum part =
= 9 cm
Radius (r2) of lower circular end of frustum part = Radius of circular end of cylindricalpart =
= 4 cm
Height (h1) of frustum part = 22 - 10 = 12 cm
Height (h2) of cylindrical part = 10 cm
Slant height (l) of frustum part
= ![](data:image/png;base64,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)
= 13 cm
Area of tin sheet required = CSA of frustum part + CSA of cylindrical part
= π (r1 + r2) * l + 2πr2h2
=
(9 + 4) * 13 + 2 *
* 4 * 10
=
[169 + 80]
= ![](data:image/png;base64,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)
= 782
cm2
Question 6.Derive the formula for the curved surface area and total surface area of the frustum of acone, given to you in Section 13.5, using the symbols as explained
Answer:Let ABC be a cone. A frustum DECB is cut by a plane parallel to its base. Let r1 and r2 be the radii of the ends of the frustum of the cone and h be the height of the frustum of the cone
![](data:image/png;base64,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)
In ΔABG and ΔADF, DF||BG
=
= ![](data:image/png;base64,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)
=
= ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABoAAAAiCAMAAAB2vTk8AAAAAXNSR0IArs4c6QAAADxQTFRFAAAAAAAAADqQAGa2OpDbZgAAZgA6ZgBmZrb/kDoAkNv/tmYAtv//25A625CQ29vb2////7Zm//+2///btmSGfgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAkUlEQVQ4T81SSRLCMAyzodAlBGj4/18byy2LqxPTQ3TJjBTZSkYi/2HWMzE6mzqTUrhg7GscRLIGL9jS30Qekn9dYOfT0wYGCezK4SgXBQawGLpz+arrdK9jQ0Jjq0trzJpQ7dzgbBvwNzK0ke+TglfEdV4RU3hFYOIVgcQr8l2A0J73qn2xsIpWBPN4RY79/AXNngS7+dAJtAAAAABJRU5ErkJggg==)
= 1 -
= 1 - ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAiCAMAAABcDciTAAAAAXNSR0IArs4c6QAAADlQTFRFAAAAAAAAADqQAGa2OpDbZgA6ZgBmZrb/kDoAkNv/tmYAtv//25A625CQ29vb2////7Zm//+2///b03BjJQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAaUlEQVQoU6WQ7QqAIAxFtz7NrNT3f9jiztqCsKD9kcO4F3eIqhO5NXvfKWQ3KqRhVojNphBM/h7pp+UKZcemuv6lly2b+VUk4ScBHjfhmsAiCAJWkmuLAIEiAM8pAJCKALSJgKONP4vYAQ7XAq69ADQjAAAAAElFTkSuQmCC)
1 -
= ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAhCAMAAADebGoAAAAAAXNSR0IArs4c6QAAAEJQTFRFAAAAAAAAAAA6ADqQAGa2OgA6OpDbZgAAZgA6Zrb/kDoAkNvbkNv/tmYAtmY625A629vb2////7Zm/9uQ//+2///b+juZGQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAgUlEQVQoU62QyxaDIAxEJ9oWoVhaxP//1ealLGXhLIDAZA65wJBaIHqczrZk1CljT1Ne7X57ZnzeiWKJUpYXLy3oGahqqfNPq2JBvslbjRwlHdxCLG8b+tmlSQK7Lu13GNaOiuc0cgerrw3eWRmHk5WVByun5KwATXZWkkyk2Ib1Byd+A+vnLDZSAAAAAElFTkSuQmCC)
= 1 –
= ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACUAAAAhCAMAAABp0ZInAAAAAXNSR0IArs4c6QAAAEJQTFRFAAAAAAAAAAA6ADqQAGa2OgA6OpDbZgAAZgA6Zrb/kDoAkNvbkNv/tmYAtmY625A629vb2////7Zm/9uQ//+2///b+juZGQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAqUlEQVQ4T81TURaDIAwr6qY4HcrY/a9qO8RaHp1fuvULQmxCMQCn1NiU2obWGD5w+w3TQzeAr+DdV8OI7Amc6JVw/OB1g+ejN9ZZ3EgW4+DuAKElSmKRDSrLuCcNX887FjtKeJTYhLI7rjh18ugeVYlMOnH5qRWPDk6Z/HVN4xAP6jo7/6ZUjoB0qURg+1nKEZA9tAhk85AR0IalRSCznRL57Y5aBH7xTgt0OAW0FPBT7gAAAABJRU5ErkJggg==)
= ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACUAAAAhCAMAAABp0ZInAAAAAXNSR0IArs4c6QAAAEJQTFRFAAAAAAAAAAA6ADqQAGa2OgA6OpDbZgAAZgA6Zrb/kDoAkNvbkNv/tmYAtmY625A629vb2////7Zm/9uQ//+2///b+juZGQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAl0lEQVQ4T92TyQ6AIAxEizu4oAj//6u2wTWxwEEvzIlMJrRDHgB/a6ziE7QQgZRTxTBiYAYdSE29ElJLHBZKgW0pEkuZcklInYNCHZ1q/DyB8sc8RH2iyqNqcot3EGx755uB3XYDmAI42A8fV1lr4GC/fNDI2hN2WoMkL9/Qh+JgP3yPOQf77tNNBrd/h333/QbJr/lZcAMHLgW0oRinhwAAAABJRU5ErkJggg==)
l1 = ![](data:image/png;base64,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)
CSA of frustum DECB = CSA of cone ABC - CSA cone ADE
= Ï€r1l1 – Ï€r2 (l1 - l)
= πr1 (
) – Ï€r2 [
]
=
– ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADwAAAAiCAMAAAA0/kqrAAAAAXNSR0IArs4c6QAAAGxQTFRFAAAAAAAAAAA6AABmADqQAGa2OgAAOgA6OgBmOjqQOpDbZgAAZgA6ZgBmZpC2ZpDbZrb/kDoAkDo6kLaQkNvbkNv/tmYAtmY6trb/ttuQtv//25A625Bm25CQ29vb2////7Zm/9uQ//+2///bAfczgwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABKElEQVRIS+2UW3PCIBCFF629GK2kStqKrYD//z92L4QaXF58cZyRl0wOnOxyCB/A/Y1gFq2mU2cuJ6fisGyY08pBmLnp7FQ89RZOveFhAeIG8HXmBqkZX8isiaRBWu/h4LwF6iCtvzeD/dz1xqKCwzdEWQjh6Yi1Phz1g+6OyqeOnQCBy2uiaJ7m49sxvu5x2Wr7jtvgD1Jd8SqiaLRlXuUX6StvL5u4bqBp3p98qYikYbc/EJ+xmpnvpFcMjA+ADoVDbIoYdOuosuvxuExAfs7rxiPP2ycwqGxTuVY36xX28d1WuFa8I79+x/tbbmTFNS2af37ly58XVVxrpFr4xWYBAiGh4pruHvlVtV1xrVG5dFulXSFMdWd+AaZtzgGlcu32/9PVHfwBsDoX1rGCmwUAAAAASUVORK5CYII=)
= πl [
]
CSA = π (r1 + r2) * l
Total surface area of frustum = CSA + Area of upper circular end + Area of lower circular end
= π (r1 + r2) * l + πr22 + πr12
= π [(r1 + r2) * l + r12 + r22]
Question 7.Derive the formula for the volume of the frustum of a cone, given to you in Section 13.5,using the symbols as explained
Answer:Let ABC be a cone.
And,
A frustum DECB is cut by a plane parallel to its base
Now,
Let r1 and r2 be the radii of the ends of the frustum of the cone and h be the height of the frustum of the cone
![](data:image/png;base64,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)
In ΔABG and ΔADF, DF||BG
=
= ![](data:image/png;base64,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)
=
= ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABoAAAAiCAMAAAB2vTk8AAAAAXNSR0IArs4c6QAAADxQTFRFAAAAAAAAADqQAGa2OpDbZgAAZgA6ZgBmZrb/kDoAkNv/tmYAtv//25A625CQ29vb2////7Zm//+2///btmSGfgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAkUlEQVQ4T81SSRLCMAyzodAlBGj4/18byy2LqxPTQ3TJjBTZSkYi/2HWMzE6mzqTUrhg7GscRLIGL9jS30Qekn9dYOfT0wYGCezK4SgXBQawGLpz+arrdK9jQ0Jjq0trzJpQ7dzgbBvwNzK0ke+TglfEdV4RU3hFYOIVgcQr8l2A0J73qn2xsIpWBPN4RY79/AXNngS7+dAJtAAAAABJRU5ErkJggg==)
= 1 -
= 1 - ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAiCAMAAABcDciTAAAAAXNSR0IArs4c6QAAADlQTFRFAAAAAAAAADqQAGa2OpDbZgA6ZgBmZrb/kDoAkNv/tmYAtv//25A625CQ29vb2////7Zm//+2///b03BjJQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAaUlEQVQoU6WQ7QqAIAxFtz7NrNT3f9jiztqCsKD9kcO4F3eIqhO5NXvfKWQ3KqRhVojNphBM/h7pp+UKZcemuv6lly2b+VUk4ScBHjfhmsAiCAJWkmuLAIEiAM8pAJCKALSJgKONP4vYAQ7XAq69ADQjAAAAAElFTkSuQmCC)
1 -
= ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAhCAMAAADebGoAAAAAAXNSR0IArs4c6QAAAEJQTFRFAAAAAAAAAAA6ADqQAGa2OgA6OpDbZgAAZgA6Zrb/kDoAkNvbkNv/tmYAtmY625A629vb2////7Zm/9uQ//+2///b+juZGQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAgUlEQVQoU62QyxaDIAxEJ9oWoVhaxP//1ealLGXhLIDAZA65wJBaIHqczrZk1CljT1Ne7X57ZnzeiWKJUpYXLy3oGahqqfNPq2JBvslbjRwlHdxCLG8b+tmlSQK7Lu13GNaOiuc0cgerrw3eWRmHk5WVByun5KwATXZWkkyk2Ib1Byd+A+vnLDZSAAAAAElFTkSuQmCC)
= 1 –
= ![](data:image/png;base64,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)
= ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACUAAAAhCAMAAABp0ZInAAAAAXNSR0IArs4c6QAAAEJQTFRFAAAAAAAAAAA6ADqQAGa2OgA6OpDbZgAAZgA6Zrb/kDoAkNvbkNv/tmYAtmY625A629vb2////7Zm/9uQ//+2///b+juZGQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAl0lEQVQ4T92TyQ6AIAxEizu4oAj//6u2wTWxwEEvzIlMJrRDHgB/a6ziE7QQgZRTxTBiYAYdSE29ElJLHBZKgW0pEkuZcklInYNCHZ1q/DyB8sc8RH2iyqNqcot3EGx755uB3XYDmAI42A8fV1lr4GC/fNDI2hN2WoMkL9/Qh+JgP3yPOQf77tNNBrd/h333/QbJr/lZcAMHLgW0oRinhwAAAABJRU5ErkJggg==)
h1 = ![](data:image/png;base64,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)
Volume of frustum of cone = Volume of cone ABC - Volume of cone ADE
=
r12h1 -
Ï€r22 (h1 – h)
=
[r12h1 – r22 (h1 – h)]
=
[r12 (
) – r22 (
- h)]
=
[
-
]
=
* h [
]
=
h [
]
=
h [ r12 + r22 + r1r2]
A copper wire, 3 mm in diameter, is wound about a cylinder whose length is 12 cm, and diameter 10 cm, so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming the density of copper to be 8.88 g per cm3
Answer:
We know that,
No. of rounds =
= = 40 rounds
Length of wire required in 1 round = Circumference of base of cylinder
= 2Ï€r
= 2Ï€ × 5
= 10Ï€
Length of wire in 40 rounds = 40 × 10Ï€
=
= = 12.57 cm
Radius of wire = = 0.15 cm
Volume of wire = Area of cross-section of wire × Length of wire
= Ï€(0.15)2 × 1257.14
= 88.898 cm3
Mass = Volume × Density
= 88.898 × 8.88
= 789.41 gm
Question 2.
A right triangle, whose sides are 3 cm and 4 cm (other than hypotenuse) is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed. (Choose the value of π as found appropriate)
Answer:
Let ABC be the triangle, with
AB = 3 cm
BC = 4 cm
and is revolved around hypotenuse.
By Pythagoras theorem,
Hypotenuse, AC =
= 5 cm
Area of ΔABC = × AB × BC
× AC × OB =
× 3 × 4
OB = = 2.4 cm
Volume of double cone = Volume of cone 1 + Volume of cone 2
= r2h1 +
r2h2
= πr2 (h1 + h2)
= πr2 (OA + OC)
= × 3.14 × (2.4)2 (5)
= 30.14 cm3
Surface area of double cone = Surface area of cone 1 + Surface area of cone 2
= πrl1 + πrl2
l1 = AB = 3cml2 = BC = 4 cm
= πr [3 + 4]
= 3.14 × 2.4 × 7
= 52.75 cm2
Question 3.
A cistern, internally measuring 150 cm × 120 cm × 110 cm, has 129600 cm3 of water in it. Porous bricks are placed in the water until the cistern is full to the brim. Each brick absorbs one-seventeenth of its own volume of water. How many bricks can be put in without overflowing the water, each brick being 22.5 cm × 7.5 cm × 6.5 cm?
Answer:
According to the question:
Volume of cistern = 150 × 120 × 110
[Volume of cube = lbh where l, b and h are length, breadth and height respectively]= 1980000 cm3
Volume to be filled in cistern = 1980000 - 129600
= 1850400 cm3
Let n numbers of porous bricks were placed in the cistern
Volume of n bricks = n × 22.5 × 7.5 × 6.5
= 1096.875n
As each brick absorbs one-seventeenth of its volume, therefore, volume absorbed by these bricks = (1096.875)
1850400 + (1096.875) = (1096.875)n
1850400 = (1096.875)
n = 1792.41
Question 4.
In one fortnight of a given month, there was a rainfall of 10 cm in a river valley. If the area of the valley is 7280 km2, show that the total rainfall was approximately equivalent to the addition to the normal water of three rivers each 1072 km long, 75 m wide and 3 m deep.
Answer:
Area of the valley = 7280 km2
If there was a rainfall of 10 cm in the valley then amount of rainfall in the valley = area of the valley × 10 cm
Amount of rainfall in the valley = 7280 km2× 10 cm
[As 1 km = 1000 m = 100000 cm ]Amount of rainfall in one day
= 0.728 km3 ------ [i]
Length of each river, l = 1072 km
The breadth of each river, b = 75 m
Depth of each river, h = 3 m
The volume of each river = l × b × h
= 0.2412 km3
Volume of three such rivers = 3 × Volume of each river
= 3 × 0.2412 km3
= 0.7236 km3 ------ [ii]
[i] and [ii] are approximately equal.
Question 5.
An oil funnel made of tin sheet consists of a10 cm long cylindrical portion attached to a frustum of a cone. If the total height is 22 cm, diameter of the cylindrical portion is 8 cm and the diameter of the top of the funnel is 18 cm, find the area of the tin sheet required to make the funnel (see Fig. 13.25)
Answer:
Given:
Radius (r1) of upper circular end of frustum part = = 9 cm
Radius (r2) of lower circular end of frustum part = Radius of circular end of cylindricalpart = = 4 cm
Height (h1) of frustum part = 22 - 10 = 12 cm
Height (h2) of cylindrical part = 10 cm
Slant height (l) of frustum part
=
= 13 cm
Area of tin sheet required = CSA of frustum part + CSA of cylindrical part
= π (r1 + r2) * l + 2πr2h2
= (9 + 4) * 13 + 2 *
* 4 * 10
= [169 + 80]
=
= 782 cm2
Question 6.
Derive the formula for the curved surface area and total surface area of the frustum of acone, given to you in Section 13.5, using the symbols as explained
Answer:
Let ABC be a cone. A frustum DECB is cut by a plane parallel to its base. Let r1 and r2 be the radii of the ends of the frustum of the cone and h be the height of the frustum of the cone
In ΔABG and ΔADF, DF||BG
=
=
=
=
= 1 -
= 1 -
1 - =
= 1 –
=
=
l1 =
CSA of frustum DECB = CSA of cone ABC - CSA cone ADE
= Ï€r1l1 – Ï€r2 (l1 - l)
= Ï€r1 () – Ï€r2 [
]
= –
= πl [ ]
CSA = π (r1 + r2) * l
Total surface area of frustum = CSA + Area of upper circular end + Area of lower circular end
= π (r1 + r2) * l + πr22 + πr12
= π [(r1 + r2) * l + r12 + r22]
Question 7.
Derive the formula for the volume of the frustum of a cone, given to you in Section 13.5,using the symbols as explained
Answer:
Let ABC be a cone.
And,
A frustum DECB is cut by a plane parallel to its base
Now,
Let r1 and r2 be the radii of the ends of the frustum of the cone and h be the height of the frustum of the cone
In ΔABG and ΔADF, DF||BG
=
=
=
=
= 1 -
= 1 -
1 - =
= 1 –
=
=
h1 =
Volume of frustum of cone = Volume of cone ABC - Volume of cone ADE
= r12h1 -
Ï€r22 (h1 – h)
= [r12h1 – r22 (h1 – h)]
= [r12 (
) – r22 (
- h)]
= [
-
]
= * h [
]
= h [
]
= h [ r12 + r22 + r1r2]