A solid sphere of radius ' $R$ ' has mass ' $M$ ' the moment of inertia of a solid sphere about an axis at a…
A solid sphere of radius ' $R$ ' has mass ' $M$ ' the moment of inertia of a solid sphere about an axis at a distance $\left(\frac{\mathrm{R}}{2}\right)$ from the centre is
$\frac{9}{20} \mathrm{MR}^2$
$\frac{7}{5} \mathrm{MR}^2$
$\frac{9}{5} \mathrm{MR}^2$
$\frac{13}{20} \mathrm{MR}^2$
Solution
Using parallel axis theorem:
$I=\frac{2}{5} M R^2+M\left(\frac{R}{2}\right)^2=\frac{13}{20} M R^2$