The area between $y=0,f(x)=\sqrt[4]{x}$ and $x=16$ is to be rotated about the $y-$axis to generate a solid.

$($a$)$ Set up the integral that represents the volume using the disk method.

Disk Volume $={\displaystyle \underset{0}{\overset{2}{}}}$

$($b$)$ Set up the integral that represents the volume using the shell method.

Shell Volume $={\displaystyle \underset{0}{\overset{16}{}}}$