Set up the triple integral ${}_{Q}f(x,y,z)dV$ in cylindrical coordinates. $Q$ is the region above $z=\sqrt[\phantom{2}]{x^2{y}^2}$ and below $z=\sqrt[\phantom{2}]{1800-x^2-y^2}.$

${\displaystyle \underset{0}{\overset{2}{}}}{\displaystyle \underset{0}{\overset{30}{}}}{\displaystyle \underset{r}{\overset{\sqrt[\phantom{2}]{1800-r^2}}{}}}f(rcos(),rsin(),z)dzdrd$

${\displaystyle \underset{0}{\overset{2}{}}}{\displaystyle \underset{0}{\overset{30}{}}}{\displaystyle \underset{r}{\overset{\sqrt[\phantom{2}]{1800-r^2}}{}}}f(rcos(),rsin(),z)*rdzdrd$

${\displaystyle \underset{0}{\overset{2}{}}}{\displaystyle \underset{0}{\overset{900}{}}}{\displaystyle \underset{r}{\overset{\sqrt[\phantom{2}]{1800-r^2}}{}}}f(rcos(),rsin(),z)dzdrd$

${\displaystyle \underset{0}{\overset{2}{}}}{\displaystyle \underset{0}{\overset{900}{}}}{\displaystyle \underset{r}{\overset{\sqrt[\phantom{2}]{1800-r^2}}{}}}f(rcos(),rsin(),z)*rdzdrd$