Question

Find the moment of inertia of a uniform sphere of mass $m$ and radius $R$ about a tangent if the sphere is hollow.

Answer 1

Using parallel axis theorem
$I=I_{CM}+m{d}^2$
for hollow sphere
$I_{CM}=\frac{2}{3}m{R}^2,d=2$
$I=\frac{5}{3}m{R}^2$