Find the Volume Between the Graph of the Given Function $$f ( x , y ) = x y ^ { 2 }$$

Multiple Choice

Find the volume between the graph of the given function and the specified rectangle. $$f ( x , y ) = x y ^ { 2 }$$ and $R = \{ ( x , y ) : - 1 \leq x \leq 1 \text { and } - 1 \leq \mathrm { y } \leq 1 \}$

A) $0$
B) $\frac { 1 } { 3 }$
C) $\frac { 2 } { 3 }$
D) $1$