The aspherical shell of lead whose external and internal diameters are 24 cm and 18 cm respectively is melted and recast into a right circular cylinder 37 cm high. Find the diameter of the base of the cylinder.
A cylindrical container is filled with icecream whose diameter is 12 cm and height 15 cm. The whole ice-cream cone?
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A solid cylinder of diameter 12 cm and height 15 cm is melted and recast into 12 toys in the shape of a right circular cone mounted on a hemisphere. Find the radius of the hemisphere, if height of the cone is 3 times the radius.
The volume of the cube is 1728 cm3. What is the total surface area of the cube?
A circus tent is cylindrical to a height of 4 cm and cone above it. If its diameter is 105 m and its lant height is 40 m. What is the total area of canvas required?
A right cylinder, a right cone and a hemisphere have the same height and same base area. What is ratio of their volumes?
The height of a right cylinder is 165 cm and the diameter of its base is 24 cm. Find the radius of the sphere whose volume is equal to the volume of the given cylinder.
If the radius of a sphere is doubled then how many times will its surface area?
The inner and outer surface areas of a spherical shell are 324 πcm2 and 576 πcm2. What is the thickness of the shell?
Five people will live in a tent. If each person requires 16 m2 of floor area and 100 m3 space for air then find the required height of the cone of the smallest size to accommodate those persons.
The ratio of the heights of two right cones is 3 : 2. Ratio of their radii of the base is 2 : 3. What is the ratio of their volumes?
The total surface area of a right cone is 1760 cm2 and the radius of its base is 14 cm. What is the lateral surface area of the cone?
On increasing each of the radius of the base and the height of a cone by 20%. By what percent its volume will be increased?
The ratio between the volumes of two spheres is 8 : 27. What is the ratio between their surface area?
The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. What is the ratio of their volumes?
13 videos|44 docs|187 tests
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13 videos|44 docs|187 tests
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