Height of greatest cone inscribed in a sphere of radius r is

Height of a cone,inscribed in a sphere of radius r, having greatest curved surface is

If h is the height of the maximum cone inscribed in a sphere of radius r then h : r=

If the curved surface of right circular cylinder inscribed in a sphere of radius r is maximum. Show that the height of the cylinder is sqrt(2) 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.

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.

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.