A uniform solid cylinder with radius R and length L has moment of inertia I_1, about the axis of the cylinder. A concentric solid cylinder of radius…

A uniform solid cylinder with radius $\displaystyle R$ and length $\displaystyle L$ has moment of inertia $\displaystyle I_1$, about the axis of the cylinder. A concentric solid cylinder of radius $\displaystyle R^{\prime}=\frac{R}{2}$ and length $\displaystyle L^{\prime}=\frac{L}{2}$ is carved out of the original cylinder. If $\displaystyle \mathrm{I}_2$ is the moment of inertia of the carved out portion of the cylinder then $\displaystyle \frac{I_1}{I_2}$ = $\displaystyle \_\_\_\_$. (Both $\displaystyle \mathrm{I}_1$ and $\displaystyle \mathrm{I}_2$ are about the axis of the cylinder)