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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Definitions:

Theory X

A management assumption that employees are inherently lazy and will avoid work if possible, hence the need for control and direct supervision.

Theory Y

A management approach that assumes employees are inherently motivated and enjoy their job responsibilities, advocating for a participative style of management.

Generation X

The demographic cohort following the baby boomers, typically defined as individuals born from the early-to-mid 1960s to the early 1980s.

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A demographic cohort also known as Millennials, typically defined as people born from the early 1980s to the mid-1990s to early 2000s.