Use the Shell Method to Find the Volume of the Solid

question 22

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.
- $$y = x ^ { 2 } - 5 , y = 4 x , x = 0 \text {, for } x \geq 0$$

• A) \(\frac { 875 } { 6 } \pi\)
• B) \(125 \pi\)
• C) \(\frac { 875 } { 3 } \pi\)
• D) \(\frac { 875 } { 12 } \pi\)

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Definitions:

Accord And Satisfaction

A legal contract whereby two parties agree to discharge a tort claim, contract, or disputed claim by an agreement (the accord) and payment (the satisfaction) that differs from the original agreement.

Liquidated Debt

A fixed and settled debt amount that is acknowledged by both the debtor and the creditor.

Preexisting Duty

A legal principle that states a promise to do something that one is already legally obligated to do is not sufficient consideration for a new contract.

Unilateral Contract

A promise made by one party in exchange for the performance of a task or action by another party.