Use the Shell Method to Find the Volume of the Solid

question 29

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


$y = 3 x - x ^ { 2 }$

• A) \(\frac { 27 } { 4 } \pi\)
• B) \(\frac { 81 } { 4 } \pi\)
• C) \(\frac { 27 } { 2 } \pi\)
• D) \(\frac { 81 } { 8 } \pi\)

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Definitions:

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