A uniform solid cylinder of length L and radius R has moment of inertia about its axis equal to I_1. A small co-centric cylinder of length L / 2 and…

A uniform solid cylinder of length $\displaystyle L$ and radius $\displaystyle R$ has moment of inertia about its axis equal to $\displaystyle I_1$. A small co-centric cylinder of length $\displaystyle L / 2$ and radius $\displaystyle R / 3$ carved from this cylinder has moment of inertia about its axis equals to $\displaystyle I_2$. The ratio $\displaystyle I_1 / I_2$ is $\displaystyle \_\_\_\_$.