If E is the solid described below with density function $\backslash$rho $($x$,$y$,$z$)=$x$^(2)+$y$^(2),$ find the following quantities, correct to three decimal places.

E is bounded by the cylinder y$^(2)+$z$^(2)=16$ and the planes x$=0,$y$=4$x$,$ and z$=0$ in the first octant

$($a$)$ the mass m

m$=$

$($b$)$ the center of mass

$($c$)$ the moment of inertia about the z$-$axis