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 perimeters of a square and a circle is given. Show that the sum of their areas is minimum when the length of a side of the square is equal to the 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 times 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 times the radius of sphere. Also find the minimum value of the sum of their volumes.

Find the surface area of a cube whose edge is 11cm.

A cone and a sphere have equal radii and equal volumes. Find the ratio of the diameter of the sphere to the height of the cone.

The volume of a sphere is (4pi)/(3) cm^(3) .Find the volume of that cube whose edge is equal to the diameter of the sphere.

In a sphere is inscribed in a cube, find the ratio of the volume of cube to the volume of the sphere.

Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube.

Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube.

Find the surface area of a cube whose edge is 11\ c m