Moment of Inertia

A uniform full cylinder of radius R, length L and mass M is taken, and 4 holes are drilled into it.
Each hole has a radius of a/3, and it's center is located a distance of a/2 from the main symmetry axis. The holes are drilled symmetricaly, so as to form a cross.
Find the moment of inertia tensor of this new cylinder respect to it's main symmetry axis.