The moments of inertia of a solid cylinder and a hollow cylinder of same mass and same radius about the axes…
The moments of inertia of a solid cylinder and a hollow cylinder of same mass and same radius about the axes of the cylinders are $\mathrm{I}_1$ and $\mathrm{I}_2$. The relation between $\mathrm{I}_1$ and $\mathrm{I}_2$ is
$\mathrm{I}_1 \lt \mathrm{I}_2$
$\mathrm{I}_1=\mathrm{I}_2$
$\mathrm{I}_1\gt\mathrm{I}_2$
$\mathrm{I}_1=\mathrm{I}_2=0$
Solution
MOI of a solid cylinder, $\mathrm{I}_1=\frac{1}{2} \mathrm{mr}^2$ MOI of a hollow cylinder, $\mathrm{I}_2=\mathrm{mr}^2$
$\therefore \mathrm{I}_1 \lt \mathrm{I}_2$