$\text { A solid is generated by revolving the region bounded by } y = \sqrt { 100 - x ^ { 2 } } \text { and }$

question 39

Multiple Choice

$\text { A solid is generated by revolving the region bounded by } y = \sqrt { 100 - x ^ { 2 } } \text { and }$ $y = 0$ about the $y$ -axis. A hole, centered along the axis of revolution, is drilled through this solid so that one-third of the volume is removed. Find the diameter of the hole. Round your answer to three decimal places.

• A) \(11.547\)
• B) \(5.774\)
• C) \(4.867\)
• D) \(18.838\)
• E) \(9.734\)

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Definitions:

Nocturnal Emissions

Involuntary ejaculation of semen during sleep, commonly known as wet dreams, often associated with puberty in males.

Erotic Dreams

Dreams with sexual content or themes that reflect the dreamer's desires, anxieties, or subconscious thoughts about sex.

Nocturnal Orgasms

Sexual climax experienced during sleep, often associated with erotic dreams, more commonly referred to as "wet dreams."

Sexual Drive

The basic biological need and desire for sexual activity or expression; also known as libido.