A cylindrical bucket 32 m high and 18 cm of radius of base, is filled with sand. The 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.

A cylinder 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.

The ratio of the radius and the slant height of a cone is 4:7 and the area of its curved surface is 792cm^2 .Find the radius of the cone.

A circus tent is cylindrical height of 3 m and conical above it. If its base radius is 52.5 m and slant height of the conical portion is 53 m, find the area of the convex required to make a tent.

A toy is in the form of a cone mounted on a hemisphere with same radius. The diameter of the base of the conical portion is 7 cm and the total height of the toy is 14.5 cm. Find the volume of the toy.

A right circular cone is 3.6 cm high and the radius of its base is 1.6 cm. It is melted and recast into a right cylinder cone with radius of its base as 1.2 cm, find the height.

A conical vessel whose radius is 5 cm and height is 24 cm, is full of water. The water is emptied into cylindrical vessel with internal radius 10 cm. Find the height to which the water rises in the cylindrical vessel.

A bucket is in the form of frustum of a cone and holds 28.49 liters of milk. The radius of the top and bottom are 28 cm and 21 cm respectively. Find the height of the bucket.

A cylindrical container is filled with ice-cream whose radius is 6 cm and height 15 cm. The whole ice-cream is distributed among ten children equally in form of cones having hemispherical tops. If the height of the conical portion is four times the radius of the base, find the radius of the base of the cone.

A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid is in the form of a right circular cone mounted on a hemisphere is immersed into the tub. If the radius of the hemisphere is 3.5 cm and the height of the cone outside the hemisphere is 5 cm, find the volume of water left on the tub. (Use pi = 22/7 )

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.