Solve the Problem $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 64 } - \frac { z ^ { 2 } } { 9 } = 1$

Multiple Choice

Solve the problem.
-Find the volume of the solid bounded by the hyperboloid of one sheet $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 64 } - \frac { z ^ { 2 } } { 9 } = 1$ and the planes $z = - 2$ and $z = 2$ . (The area of an ellipse with semiaxes a and $b$ is $\pi a b$ .)

A) $103.11 \pi$ units $^ { 3 }$
B) $110.22 \pi$ units $^ { 3 }$
C) $81.78 \pi$ units $^ { 3 }$
D) $2645.33 \pi$ units $^ { 3 }$