A uniform solid cylinder with radius R and length L has moment of inertia I1, about the axis of cylinder. A concentric solid cylinder of $R^{\prime}=\frac{R}{2}$ and length $L^{\prime}=\frac{L}{2}$ is caned out of the original cylinder. If $\mathrm{l}_2$ is the moment of inertia of the carved out portion of the cylinder then $\frac{\mathrm{I}_1}{\mathrm{I}_2}$ = ________ (Both $\mathrm{l}_1$ and $\mathrm{l}_2$ are about the axis of the cylinder)