Evaluate the Integral $\iiint _ { B } f ( x , y , z ) d V$

Multiple Choice

Evaluate the integral $\iiint _ { B } f ( x , y , z ) d V$ where $f ( x , y , z ) = x y ^ { 2 } + y z ^ { 2 }$ and $B = \{ ( x , y , z ) \mid 0 \leq x \leq 2 , - 5 \leq y \leq 5,0 \leq z \leq 3 \}$ with respect to x, y, and z, in that order.

A) 120
B) 620
C) 180
D) 500