Let $W$ be the solid determined by both $\sqrt[\phantom{2}]{4-x^2-y^2}-2z2-\sqrt[\phantom{2}]{x^2+y^2}$ and $x^2+y^{2}4,$ and the mass density of the solid at $(x,y,z),(x,y,z),$ be the distance from the $xy-$plane.

$($A$)$ Sketch $W.$

$($B$)$ Express integral$($s$)$ for the volume of $W.$

$($C$)$ Express integral$($s$)$ for the mass of $W.$