Solve the Problem $\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 100 } + \frac { z ^ { 2 } } { 25 } = 1$

Multiple Choice

Solve the problem.
-Find the volume of the solid bounded by the ellipsoid $\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 100 } + \frac { z ^ { 2 } } { 25 } = 1$ and the planes $z = - 2$ and $z = 2$ . (The area of an ellipse with semiaxes a and $b$ is $\pi a b$ .)

A) $13,632.00 \pi$ units $^ { 3 }$
B) $176.00 \pi$ units $^ { 3 }$
C) $227.20 \pi$ units $^ { 3 }$
D) $252.80 \pi$ units $^ { 3 }$