Use the Shell Method to Find the Volume of the Solid

question 111

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

• A) \(\frac { 27 } { 4 } \pi\)
• B) \(\frac { 27 } { 2 } \pi\)
• C) \(9 \pi\)
• D) \(18 \pi\)

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Definitions:

True Proposition

A statement that accurately describes a fact or situation, aligning with reality.

Subject Class

A group or category that shares certain characteristics, forming the subject of logical or philosophical analysis.

Quantity

The amount, number, or extent of something, often measurable.

Quality

A characteristic or property that distinguishes an object, material, or service, determining its nature and significance.