Find the Volume of the Solid Generated by Revolving the Region

question 1

Multiple Choice

Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve $y = e ^ { x }$ , and the line $x = \ln 2$ about the line $x = \ln 2$ .

• A) \(2 \pi ( 1 - \ln 2 )\)
• B) \(2 \pi ( 2 - \ln 2 )\)
• C) \(2 \pi ( 2 - \ln 3 )\)
• D) \(2 \pi ( 1 + \ln 2 )\)

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