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).

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