A solid of constant density is bounded below by the plane z$=0,$ above by the cone z$=4$r$,$r$>=0,$ and on the sides by the cylinder r$=1.$ Find the center of mass.

The center of mass is $(\backslash$bar$\{$x$\}(,)/($b$)$ar $($y$)(,)/($b$)$ar $($z$))=(,).$

$($Simplify your answer.$)$