Question

The moment of inertia of a hollow sphere of mass M having internal and external radii R and 2R about an axis passing through its centre and perpendicular to its plane is

• A. $\frac{3}{2}MR^2$
• B. $\frac{13}{32}MR^2$
• C. $\frac{31}{35}MR^2$
• D. $\frac{62}{35}MR^2$

Answer 1

Answer: (D)

$\frac{62}{35}MR^2$

Answer 2

If $I_1$ and $I_2$ are moment of inertia of hollow spheres of radii R and 2R respectively, then $I = I_2 - I_1$ and mass $\alpha \, R^3$