Use the Shell Method to Find the Volume of the Solid

question 228

Multiple Choice

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


$y = 3 \sin \left( x ^ { 2 } \right)$

• A) \(3 \pi\)
• B) \(9 \pi\)
• C) \(12 \pi\)
• D) \(6 \pi\)

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Definitions:

Rates of Return

Financial returns or setbacks on an investment throughout a chosen timeframe, indicated as a percentage of the investment's original expenditure.

Future Value

The value of an existing asset at a future date based on an assumed rate of growth over time.

Compounded Annually

This term refers to the process of adding interest to the principal sum of a loan or deposit, or in other words, interest on interest, with the effects of compounding happening once per year.

Present Values

The value today of a future sum or series of cash payments, calculated using a particular rate of return, for the purpose of discounting and assessing investment options.