Use the Disk or Shell Method to Find the Volume $x = 22$

question 16

Multiple Choice

Use the disk or shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line $x = 22$ .
$y = x ^ { 3 } , y = 0 , x = 11$

• A) \(\frac { 966,306 } { 5 } \pi\)
• B) \(\frac { 483,153 } { 5 } \pi\)
• C) \(\frac { 322,102 } { 5 } \pi\)
• D) \(\frac { 644,204 } { 5 } \pi\)
• E) \(\frac { 161,051 } { 5 } \pi\)

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Definitions:

Average Total Assets

A measure used to evaluate a company's efficiency and profitability, calculated by averaging the total assets at the beginning and end of an accounting period.

Stockholders' Equity

The portion of a company's assets that belongs to shareholders after deducting liabilities, representing ownership interest.

Common Stock

A type of security that signifies ownership in a corporation and represents a claim on part of the company's profits or losses.

Retained Earnings

The segment of net profit held back by the business rather than being shared with its proprietors in the form of dividends.