Evaluate using spherical coordinate

${\displaystyle \underset{-2}{\overset{2}{}}}{\displaystyle \underset{-\sqrt[\phantom{2}]{4-x^2}}{\overset{\sqrt[\phantom{2}]{4-x^2}}{}}}{\displaystyle \underset{\sqrt[\phantom{2}]{x^2{y}^2}}{\overset{\sqrt[\phantom{2}]{8-x^2-y^2}}{}}}(x^2{y}^2{z}^2)dzdydx$

$[7$ marks$]$