Use a Double Integral in Polar Coordinates to Find the Volume

Multiple Choice

Use a double integral in polar coordinates to find the volume of the solid in the first octant bounded by the graphs of the equations given below. $$z = x ^ { 3 } y , x ^ { 2 } + y ^ { 2 } = 4$$

A) $\frac { 32 } { 3 }$
B) $\frac { 8 } { 3 }$
C) $\frac { 4 } { 3 }$
D) $\frac { 3 } { 32 }$
E) $\frac { 3 } { 8 }$