. You use a circular cylindrical rod of radius a to drill a hole (all the way from top to bottom) through a sphere of radius R = b, with b > a > 0. Suppose the sphere and circular cylindrical rod are both centered at the origin. Let E be the solid ring formed by all the points which are both inside the sphere and outside the cylindrical rod. (a) Find the height h of the solid ring. You should express h in terms of a and b. Please accompany with a labeled sketch. (b) Find the volume of the solid ring, in terms of a and b. (c) Express the volume in terms of the height h of the ring only.