You are designing a flywheel to store kinetic energy. If all of the following uniform objects have the same mass and same angular velocity, which one will store the greatest amount of kinetic energy? Which will store the least? Explain. 

(a) A solid sphere of diameter D rotating about a diameter;

(b) A solid cylinder of diameter D rotating about an axis perpendicular to each face through its center;

(c) A thin-walled hollow cylinder of diameter D rotating about an axis perpendicular to the plane of the circular face at its center;

(d) A solid, thin bar of length D rotating about an axis perpendicular to it at its center.