Difficult# Rotational Inertia: Disk with a Large Hole in It

APPHMC-PSRDC8

A disk of uniform density has an outer radius of $R_o$ and a large hole in the center with a radius of $R_i=1/3 \text{ }R_o$. It has a mass of $M$. The equation for the rotational inertia, $I$, of a solid disk around its center is $1/2 \text{ }MR^2$.

Determine the rotational inertia, $I$, of this disk with a large hole in it?