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

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

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

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

The total surface area of a cone whose radius is and slant height is