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 times the radius of sphere. Also find the minimum value of the sum of their volumes.

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 a rectangualr parallelopiped with sides x, 2 x 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 times the radius of the 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 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 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 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 side of a cube is equal to the radius of the sphere. Find the ratio of their volumes.

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

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