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

question 153

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 \(^ { 3 }\)

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