Use the Shell Method to Find the Volume of the Solid

question 168

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated line.
-About the line $y = 3$


$x = y + 6$
$x = y ^ { 2 }$

• A) \(\frac { 63 } { 2 } \pi\)
• B) \(\frac { 99 } { 2 } \pi\)
• C) \(99 \pi\)
• D) \(\frac { 225 } { 2 } \pi\)

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Definitions:

Amortize

This refers to the process of gradually writing off the initial cost of an asset over a period.

Discount

A reduction applied to the regular price of goods or services, or the amount by which the market value of a bond falls below its par value.

Premium

The amount by which the price of something exceeds its principal or nominal value, often applied to bonds, insurance policies, and preferred stock.

Forward Contract

A personalized agreement between two entities to purchase or sell a specific asset at a predetermined price on a later date.