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.

The sum of the surfaces 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.

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

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.

Surface area of a sphere and cube are equal. Then find the ratio of their volumes.

Given the sum of the perimeters of a square and a circle,show that the sum of their areas is least when one side of the square is equal to diameter of the circle.

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 xx the radius of sphere.

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 the total surface areas of a sphere and a cube is constant. Find the ratio of the radius of the sphere and the length of the edge of the cube so that the sum of their volumes is minimum.

The surface area of a sphere and cube are equal.Find the ratio of their volumes.[take pi=(22)/(7)]

If the sum of the surface areas of cube and a sphere is constant, what is the ratio of an edge of the cube to the diameter of the sphere, when the sum of their volumes is minimum ?