Find the Volume Under $z = 3 x ^ { 5 } + 3 y ^ { 5 }$

Multiple Choice

Find the volume under $z = 3 x ^ { 5 } + 3 y ^ { 5 }$ and above the region bounded by $y = x ^ { 2 }$ and $x = y ^ { 2 }$ .

A) $\frac { 1 } { 3 }$
B) $\frac { 32 } { 5 }$
C) $\frac { 9 } { 52 }$
D) $\frac { 1 } { 52 }$
E) $\frac { 3 } { 32 }$