A cylinder and cone have bases of equal radii and are of equal heights. Show that their volumes are in the ratio of 3:1

A sphere , a cylinder and a cone have the same radius and same height. Find the ratio of their volumes. [Hint : Diameter of the sphere is equal to the heights of the cylinder and the cone]

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

A sphere , a cylinder and a cone are of the same radius and same height . Find the ratio of their curved surface areas.

The lateral surface area of a cylinder is equal to the curved surface area of cone . If their bases are the same, find the ratio of the height of the cylinder to the slant height of the cone.

The radius of the base of a cone is 14 cm and its height is 15 cm. Find the volume of the cone.

Two dises having masses in the ratio 1 : 2 and radii in the ratio 1 : 8 roll down without slipping one by one from an inclined plane of height h. The ratio of their linear velocities on reaching the ground is :-

For a given cylinder, the radius of the base is 7 cm and its height is 15 cm. What will be the area of its base and its top ?

Two vessels A and B have the same base area and contain water to the same height but the mass of water in A is four times that in B. The ratio of the liquid thrust at the base of A to that at the base of B is

A tent is in the form of a cylinder of diameter 4.2 m and height 8 m surmounted by a conc of equal base and heitght 6m, find the volume of air in the tent.

Sand is pouring from a pipe at the rate of 12 cm^(3)//s . The falling sand forms a cone on the ground in such a way that the height of the cone is always one - sixth of the radius of the base. How fast is the height of the sand cone increasing when the height is 4 cm ?