Use the Shell Method to Find the Volume of the Solid

question 49

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 $y = - 1$


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

• A) \(864 \pi\)
• B) \(288 \pi\)
• C) \(216 \pi\)
• D) \(144 \pi\)

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Definitions:

Selfish Manner

Acting with concern for one's own welfare or advantage at the expense of or without regard for others.

Agreeing

The act of sharing the same opinion or position as someone else.

Anecdotal Evidence

Evidence based on personal accounts, observations, or stories, rather than on systematic scientific evaluations.

Critical Thinking

The purpose of conducting a systematic review and evaluation of a subject to develop an opinion.