(a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of interia of the sphere about any of its diameter to be 2 `MR^(2)//5`, where M is the mass of the sphere and R is the radius of the sphere,
(b) Given the moment of inertia of a disc of mass M and radius R about any of its diameter to be -`(1)/(4)MR^(2)`, find the moment of inertia about an axis normal to the dise passing through a point on its edge.

Explanation

(a)`(7)/(5)MR^(2)` and (b)`(3)/(2)MR^(2)`