Find the Volume of the Solid Generated by Revolving the Region

question 23

Multiple Choice

Find the volume of the solid generated by revolving the region bounded by the curve $y = \ln x$ , the $x$ -axis, and the vertical line $\mathrm { x } = \mathrm { e } ^ { 2 }$ about the $\mathrm { x }$ -axis.

• A) \(\pi ( e - 1 )\)
• B) \(\pi \mathrm { e }\)
• C) \(\pi \left( e ^ { 2 } - 1 \right)\)
• D) \(2 \pi \left( e ^ { 2 } - 1 \right)\)

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