The sum of surface areas of a sphere and a cuboid with sides `x/3,x` and `2x` , is constant. Show that the sum of their volumes is minimum if `x` is equal to three times the radius of sphere.

The sum of surface areas of a sphere and a cuboid 2x, is with sides x and constant.Show that the sum of their volumes is minimum if r is equal to three xx the radius of sphere.

The sum of the surface areas of a cuboid with sides x,2x and (x)/(3) and a sphere is given to be constant.Prove that the sum of their volumes is minimum,if x is equal to three xx the radius of sphere.Also find the minimum value of the sum of their volumes.

The sum of the surface areas of the rectangular parallelopiped with sides x,2x and (x)/(3) and a sphere is given to be constant. Prove that the sum of the volumes is minimum, if x is equal to three xx the radius of the sphere.Also,find the minimum value of the sum of their volumes.

The sum of the surface areas of a sphere and a cube is given.Show that when the sum of their volumes is least,the diameter of the sphere is equal to the edge of the cube.

If the volume of a sphere is numerrically equal to its surface area. Then radius of sphere is

The surface area of a sphere is 5544cm^(3) . Find its volume.

Find the volume and surface area of a sphere of radius 21 cm.

Find the volume and surface area of a sphere of radius 10.5cm.

The volume and the surface area of a sphere are numerically equal, then the radius of sphere is

If the volume and surface area of a sphere are numerically the same, then its radius is