The Volume of the Solid Bounded Below By $z = 3 x ^ { 2 } + y ^ { 2 }$

Multiple Choice

The volume of the solid bounded below by $z = 3 x ^ { 2 } + y ^ { 2 }$ and above by $z = 4 - x ^ { 2 }$ is

A) $\frac { 3 \pi } { 2 }$
B) $\frac { 9 \pi } { 2 }$
C) $4 \pi$
D) $\frac { 4 \pi } { 3 }$
E) $\frac { \pi } { 3 }$