JEE Main 2023 — Rotational Motion Question with Solution

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 $$R^{\prime }=\frac{R}{2}$$ and length $$L^{\prime }=\frac{L}{2}$$ is carved out of the original cylinder. If I$${}_2$$ is the moment of inertia of the carved out portion of the cylinder then $$\frac{I_1}{I_2}=$$ __________.

(Both I$${}_1$$ and I$${}_2$$ are about the axis of the cylinder)