Prove that the cone, circumscribing a sphere of radius r, has the minimum volume if its altitude is 4r and its semivertical angle is `sin^-1 (1/3)`.

Prove that the cone,circumscribing a sphere of radius r, has the minimum volume if its altitude is 4r and its semi vertical angle is sin^(-1)((1)/(3))

The height of the cone of maximum volume inscribed in a sphere of radius R is

The height of the cone of maximum volume inscribed in a sphere of radius R is

If the radius of a sphere is 2r , them its volume will be

If the radius of a sphere is 2r , them its volume will be

The total surface area of a right circular cone is given. Show that the volume of that cone will be maximum if the semivertical angle is sin^(-1)1/3 .

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.

The radius of a sphere is 2r. Then its volume will be