Suppose $f(x,y,z)=\frac{1}{\sqrt[\phantom{2}]{x^2{y}^2{z}^2}}$ and $W$ is the bottom half of a sphere of radius $6.$ Enter $$ as rho, $$ as phi, and $$ as theta.

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

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

with limits of integration

$A=$

$B=2$

$C=\frac{}{2}$

$D=$

$E=$

$F=6$

$($b$)$ Evaluate the integral.

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