$(3)$ Use spherical coordinates to evaluate a triple integral of $F(x,y,z)=(x^2+y^2+z^2{)}^{\frac{3}{2}}$ over the solid region $D,$ where $D$ is the region inside the sphere of radius $5$ centered at the origin and inside the cone $=\frac{}{3},$ with $y0.$

$($a$)$ First, write $F(x,y,z)$ as a function of $,,$ and $.$

$($b$)$ Next, set up the integral in spherical corordinates.

${}_{D}F(,,$var$)dV=$

In spherical coordinates, the wolume clement is $dV={}^{2}sinddd.$