(a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters 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 diameters to be `(1)/(4)MR^(2)`, find the moment of inertia about an axis normal to the disc passing through a point on its edge.

Explanation

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