Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r units.

Find the volume of a sphere of radius a.

Moment of inertia of solid sphere of radius r_(0) is

The total surface area of a solid hemisphere whose radius is a units, is equal to …………. .

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is (4r)/(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.

Find the volume of the sphere of radius a.

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.