Find the Volume of the Solid Obtained by Rotating About $y$

question 95

Multiple Choice

Find the volume of the solid obtained by rotating about the $y$ axis the region bounded by the curves.
$y = e ^ { - x ^ { 2 } } , y = 0 , x = 0$ and $x = 9$

• A) \(V = \pi \left( \frac { 1 } { e ^ { 81 } } \right)\)
• B)
• \(V = \pi \left( 1 - \frac { 1 } { e ^ { 81 } } \right)\)
• C) \(V = \pi e ^ { 81 }\)
• D) \( \pi \left( \frac { 1 } { e ^ { 81 } } - 1 \right)\)
• E) \(V = \pi \left( e ^ { 81 } - 1 \right)\)

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