Find the Volume of the Solid Generated by Revolving the Region

question 40

Multiple Choice

Find the volume of the solid generated by revolving the region in the first quadrant bounded by $y = e ^ { x }$ and the $x$ -axis, from $x = 0$ to $x = \ln 3$ , about the $y$ -axis.

• A) \(3 \pi \ln 3\)
• B) \(6 \pi \ln 3\)
• C) \(2 \pi ( 3 \ln 3 - 3 )\)
• D) \(2 \pi ( 3 \ln 3 - 2 )\)

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