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) \(V = \pi \left( e ^ { 81 } - 1 \right)\)

---

Definitions:

Relationship

A connection, association, or involvement between two or more individuals, entities, or concepts.

Trust

A strong conviction in someone or something's dependability, accuracy, capability, or robustness.

Mother

A female parent or guardian; also refers to a woman exercising control, influence, or care similar to that of a parent.

Cattell

Raymond B. Cattell was a psychologist known for his psychometric research into intrapersonal psychological structure and the influential 16 personality factor model of personality.