Consider the triple integral $\int\!\!\int\!\!\int _{\mathcal{W}} {xyz}^2 \,dV$ , where $\mathcal{W}$ is the region bounded by $$z=9-{y}^2,\quad z=0,\quad y=6 x,\quad x=0,\quad y \ge 0 \text{.}$$ Write the triple integral as an iterated integral in the order $dz\,dx\,dy$,
and describe the region of integration:

$\le x \le$
$\le y \le$
$\le z \le$