If the radius of one sphere is double the radius of another sphere,then find the ratio of the volumes of the spheres.

The amount of cubic units of the volume of a sphere is double the amount of whole surface area of the same in square unit. Find the radius of the sphere.

A sphere and a cube have equal surface areas.What is the ratio of the volume of the sphere to that of that cube?

The radius of a sphere is decreasing at the rate of 3 cm per second. Obtain the rate of decrease of the surface area when the radius is 18 cm.

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 sphere of maximum volume is cut out from a solid hemisphere of radius r.What is the ratio of the volume of the hemisphere to that of cut out sphere?

(a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2MR^2IS, where M is the mass of the sphere and R is the radius of the sphere(b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be MR2I4, find its moment of inertia about an axis normal to the' disc and passing through a point on its edge.

Find the radius of the sphere, if the rates of increase in its volume and surface area are equal.

The height of a cylinder is two-thirds of its diameter and the volume of the cylinder is equal to the volume of a sphere of radius 4 cm.Find the base radius of the cylinder.

The ratio of the volumes of two sphere is 27: 8 . What is the ratio of their surface areas?

What is the volume of a solid sphere of radius 2R?