Q$3(10$ points$)$

Let $D$ be the solid bounded inside the cone $z=\sqrt[\phantom{2}]{?}{x}^2+y^2,$ below by $z=1$ and above by the sphere $z=\sqrt[\phantom{2}]{?}4-x^2-y^2.$ Consider the integral

$I={}_D\frac{z^2}{(x^2+y^2+z^2{)}^2}dV$

$($a$)$ Sketch the solid $D.$

$($b$)$ Setup $($but do not evaluate$)$ the integral I in Spherical Coordinates.

$($c$)$ Evaluate the integral I.