Find the moment of inertia of a hemisphere of mass M (shown in the figure) about an axis AA’ passing through its centre of mass.

Q: Find the moment of inertia of a hemisphere of mass M (shown in the figure) about an axis AA’ passing through its centre of mass.

Numerical

(a) $\frac{69}{240}MR^2 $

(b) $\frac{89}{320}MR^2 $

(c) $\frac{74}{243}MR^2 $

(d) $\frac{83}{320}MR^2 $

Ans: (d)