Use the Shell Method to Find the Volume of the Solid

question 88

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 $y = 4$
$x = 4 y - y ^ { 2 }$

• A) \(\frac { 256 } { 3 } \pi\)
• B) \(\frac { 128 } { 3 } \pi\)
• C) \(\frac { 64 } { 3 } \pi\)
• D) \(\frac { 32 } { 3 } \pi\)

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Definitions:

Dealer

A person or firm in the business of buying and selling securities for their own account, rather than for customers.

Commodity

Basic goods used in commerce that are interchangeable with other goods of the same type.

Original Issuer

The entity that first creates and offers securities or financial instruments to the public, such as bonds or stocks.

Secondary Market

A market where investors purchase securities or assets from other investors, rather than from issuing companies themselves.