Show that the cone of the greatest volume which can be inscribed in a given sphere has an altitude equal to 2/3 of the diameter of the sphere.

Prove that the cone of the greatest volume which can be inscribed in a given sphere has an altitude equal to 2/3 rd the diameter of the sphere.

Show that the cone of greatest volume which can be inscribed in a given sphere is such that three times its altitude is twice the diameter of the sphere. Find the volume of the largest come inscribed ina sphere of radius R.

The height of the cylinder of the greatest volume that can be inscribed in a sphere of radius 3 is

The altitude of a cylinder of the greatest possible volume which can be inscribed in a sphere of radius 3 sqrt3 is