Suppose $f(x,y,z)=x^2+y^2+z^2$ and $W$ is the solid cylinder with height $5$ and base radius $3$ that is centered about the $z-$axis with its base at $z=-1.$ Enter $$ as theta.

$($a$)$ As an iterated integral,

${}_{W}fdV={\displaystyle \underset{A}{\overset{B}{}}}{\displaystyle \underset{C}{\overset{D}{}}}{\displaystyle \underset{E}{\overset{F}{}}}$

$dzdrd$

with limits of integration

$A=$

$B=$

$C=$

$D=$

$E=$

$E=$

$F=$

$($b$)$ Evaluate the integral.