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

question 94

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 \(^ { 3 }\)