Use the Shell Method to Find the Volume of the Solid

question 66

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves
about the given lines.
- $y = 2 x , \quad y = 0 , \quad x = 3$ ; revolve about the line $x = - 4$

• A) \(54 \pi\)
• B) \(108 \pi\)
• C) \(- 36 \pi\)
• D) 54

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Definitions:

Underarm Hair

Hair that grows under the arms, which begins to appear during puberty as a result of hormonal changes in the body.

Growth Spurt

A rapid increase in physical growth during puberty or other developmental stages.

Secondary Sex Characteristics

Traits that emerge during puberty, which are not directly involved in reproduction, but distinguish between the sexes.

Reproduction

The biological process by which new individual organisms are produced from their parents.