If a sphere is inscribed in a cube, then the ratio of the volume of the cube to the volume of the sphere will be

A right circular cylinder just encloses a sphere of radius (as shown in the figure). Then, the surface area of the sphere is equal to the curved surface area of the cylinder.

The largest possible right circular cone is cut out of a cube of edge cm. The volume of the cone is

If the length of diagonal of a cube is then the length of each edge of the cube is 3 cm.

The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of
5 : 3. Then, the ratio of their volumes is