12cbse 6 5 exercise 23 largest volume of cone inscribed in sphere is 8 by 27 of volume of sphere

12cbse 6 5 exercise 23 largest volume of cone inscribed in sphere is 8 by 27 of volume of sphere

Prove that the volume of the largest cone that can be inscribed in a sphere of radius R is 8/27 of the volume of the sphere.