Use the Shell Method to Find the Volume of the Solid

question 210

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 $y = 4$

• A) \(\frac { 64 } { 15 } \pi\)
• B) \(\frac { 16 } { 5 } \pi\)
• C) \(\frac { 32 } { 5 } \pi\)
• D) \(\frac { 224 } { 15 } \pi\)

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Definitions:

Risk-Free Rate

The theoretical rate of return of an investment with zero risk of financial loss, often represented by the yield on government bonds.

Option

A contract that gives its owner the right to buy or sell some asset at a fixed price on or before a given date.

European Option

Option that can be exercised only on the expiration date.

Expiration Date

The last day on which an option can be exercised.