$(6$ points$)$ Use the triple integral$($s$)$ to find the volume of the solid $E$ given below.

${}_{R}dzdxdy$

$0z2-x^2-y^2$

$\sqrt[\phantom{2}]{2-y^2}x\sqrt[\phantom{2}]{1-y^2}$

$0=2-x^2-y^2$

$x^2=2-x^2$

$x=\sqrt[\phantom{2}]{2-y}$

$y$Can you please fix my work $($i got it wrong, i think only one part was right$)$