$(10$ pt$)$ Using Spherical Coordinates, find $zdv,$ where $E$ is the region bounded by $1^{st}$ octant part of the sphere $x^2+y^2+z^2=4$ and the cone $z=\sqrt[\phantom{2}]{x^2+y^2}($ E lies below the sphere and above the cone$)$

$r^2=4=0r2,2=rcos()\frac{U}{N0}0\frac{}{4},0\frac{(\stackrel{}{x})}{2},02$