Let $S$ be the solid sphere of radius $3$ centered at the origin.

Use spherical coerdinates $(,,)$ with $x=sincos,y=sinsin$ and $z=cos.$

$($a$)$ Set up the triple integral ${}_{s}dV$ in spherical coordinates by writing the coerect limits for $,,.$

$($b$)$ Iivaluate the integral to find the volume of the spbere.