Consider the solid bounded below by the xy$-$plane, on the sides by the sphere $=3,$ and above by the cone $=\frac{}{4}.$

a$.$ Find the spherical coordinate limits for the integral that calculates the volume of the given solid.

b$.$ Evaluate the integral.

a$.$ Select the correct choice below and fill in the answer boxes to complete your choice.

$($Type exact answers.$)$

A$.V={}^{2}sinddd$

$$

$$

B$.V=ddd$

C$.V=ddd$

b$.$ Evaluate the integral from the previous step.

$V=($Type an exact answer.$)$