Solve the Problem $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 81 } = \frac { z ^ { 2 } } { 16 }$

question 221

Multiple Choice

Solve the problem.
-Find the volume of the solid bounded by the elliptical cone $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 81 } = \frac { z ^ { 2 } } { 16 }$ and the planes $z = 0$ and $z = 4$ . (The area of an ellipse with semiaxes $a$ and $b$ is $\pi a b$ .)

• A) \(24 \pi\) units \(^ { 3 }\)
• B) \(288 \pi\) units \(^ { 3 }\)
• C) \(96 \pi\) units \(^ { 3 }\)
• D) 96 units \(^ { 3 }\)

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