Find the Volume of the Solid Obtained by Rotating the Region

question 51

Multiple Choice

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Select the correct answer.
$y = \ln x , y = 1 , y = 5 , x = 0$ ; about the $y -$ axis

• A) \(\frac { \pi } { 4 } \left( e ^ { 10 } - e \right)\)
• B) \(\frac { \pi } { 2 } \left( 1 - e ^ { 10 } \right)\)
• C) \(\frac { \pi } { 2 } \left( e ^ { 10 } - e ^ { 2 } \right)\)
• D) \(\frac { \pi e ^ { 10 } } { 2 }\)
• E) \(2 \pi \left( e ^ { 10 } - e ^ { 2 } \right)\)

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