Find the Volume of the Solid Generated by Revolving the Region

question 38

Multiple Choice

Find the volume of the solid generated by revolving the region about the given line.
-The region in the first quadrant bounded above by the line $y = 5 x ^ { 3 }$ , below by $x$ -axis, and on the right by the line $x = 1$ , about the line $y = - 1$

• A) \(\frac { 45 } { 14 } \pi\)
• B) \(\frac { 85 } { 14 } \pi\)
• C) \(\frac { 32 } { 7 } \pi\)
• D) \(\frac { 85 } { 7 } \pi\)

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Definitions:

Moral Responsibility

The obligation to act rightfully and ethically when making decisions that affect others.

Group Goals

Objectives that are shared and pursued by members of a group, which guide their actions and efforts.

Ethical Standards

Guidelines or principles that dictate how to conduct oneself morally and professionally.

Personal Travel Expenses

Costs incurred by an individual while traveling, typically for business or leisure, including transport, lodging, meals, and other related expenses.