Integrate the function $(x^2+y^2{)}^{\frac{1}{4}}$ over the region $E$ that $is$ bounded $by$ the $xy$ plane below and above $by$ the paraboloid $10-6x^2-6y^2$ using cylindrical coordinates.

${}_E(x^2+y^2{)}^{\frac{1}{4}}dV={\displaystyle \underset{A}{\overset{B}{}}}{\displaystyle \underset{C}{\overset{D}{}}}{\displaystyle \underset{E}{\overset{F}{}}}G(z,r,)dzdrd$

where $A=,B=,C=,B=$

$E=,F=,$ and $G(z,r,)=$

The value $of$ the integral $is{}_E(x^2+y^2{)}^{\frac{1}{4}}dV=$