The area of the curved surface of 24 cm.high cone is `550cm^2`.Find the volume of the cone.

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.

The total surface area of the solid cylinder is 462cm^2 .If the area of the curved surface of the cylinder is one-third of the total surface area,then find the volume of the cylinder.

If the surface area of a sphere is 5544cm^2 .Find its diameter.

Find the height and volume of cylinder whose area of the curved surface is 4,400 cm^2 and perimeter of the base is 110 cm.

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 solid is in the form of a right-circular cone mounted on a hemisphere. The radius of the hemisphere is 2.1 cm and height of the cone is 2 cm. The solid is placed in a cylindrical tub full of water in such a way that the solid is fully submerged in water. If the radius of the cylinder is 5 cm and its height is 9.8 cm, find the volume of the water left in the tub..

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 tn terms of pi .

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 cylinder and a cone are of the same base radius and of some height.Find the ratio of the volume of the cylinder to that of the cone.

A cylinder and a cone are of equal base radii and heights.If the ratio of the areas of their curved surfaces is 8:5,show that the ratio of the radius and the height of each of the two is 3:4.