Find the volume of the larges cylinder that can be inscribed in a sphere of radius `r`

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.

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.

Show that the maximum volume of the cylinder which can be inscribed in a sphere of radius 5sqrt(3)cm is 500 pi cm^(3).

Show that the maximum volume of the cylinder which can be inscribed in a sphere of radius 5sqrt(3)cm is 500 pi cm^(3).

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

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 volume of the largest possible right circular cylinder that can be inscribed in a sphere of radius =sqrt(3) is :

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is 2(R)/(sqrt(3)) .Also find maximum volume.

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3)) Also find the maximum volume.