Find the mass moment of inertia, $Izz$, for the spherical ceramic femoral head ball (with a cylindrical hole) from a total hip replacement. Assume that $r$ = 3.5 cm, and density is a uniform 4.7 g/cm$^3$.

(Recall that reasonable approximations around the intersection of round and flat objects are acceptable; select a simple approximation).

$I_{zz}$ = [kg-m$^2$]