Solve the Problem $b$ Is the Volume of the Ellipsoid $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { b ^ { 2 } } + \frac { z ^ { 2 } } { 81 } = 1$

question 338

Multiple Choice

Solve the problem.
-For what value of $b$ is the volume of the ellipsoid $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { b ^ { 2 } } + \frac { z ^ { 2 } } { 81 } = 1$ equal to $9 \pi$ ?

• A) \(b = \frac { 3 } { 10 }\)
• B) \(b = \frac { 1 } { 10 }\)
• C) \(b = \frac { 3 } { 20 }\)
• D) \(b = \frac { 1 } { 5 }\)

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