Use the Shell Method to Find the Volume of the Solid

question 33

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.
- $y = 5 x ^ { 3 } , y = 5 x \text {, for } x \geq 0$

• A) \(\frac { 1 } { 3 } \pi\)
• B) \(\frac { 4 } { 3 } \pi\)
• C) \(\frac { 2 } { 3 } \pi\)
• D) \(2 \pi\)

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Definitions:

Genitals

Reproductive organs, especially the external sex organs, involved in sexual reproduction and pleasure.

Intersexed

A general term used for a variety of conditions in which a person is born with reproductive or sexual anatomy that doesn’t seem to fit the typical definitions of female or male.

Masculinized

Made to possess or exhibit qualities traditionally associated with men or masculine traits.

Feminized

Made to possess qualities traditionally associated with females; often used in context of plants or animals, indicating induced development of female characteristics.