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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Pounds

A unit of weight in the imperial system, equivalent to 0.453592 kilograms.

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A unit of mass in the metric system equal to 1,000 grams or approximately 2.20462 pounds.

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