Use the Shell Method to Find the Volume of the Solid

question 55

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.
- $y = 8 x , y = - \frac { x } { 8 } , x = 1$

• A) \(\frac { 65 } { 12 } \pi\)
• B) \(\frac { 65 } { 24 } \pi\)
• C) \(65 \pi\)
• D) \(\frac { 43 } { 8 } \pi\)

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Definitions:

Liabilities

financial obligations or debts that a business needs to settle in the future, such as loans, accounts payable, and mortgages.

Withdrawals

Amounts taken from a business by the owner for personal use.

Assets

Resources owned by a business or individual with economic value or expected to provide future benefits.

Salaries and Wages

Compensation paid to employees for their services, including both regular salary and hourly wages.