# Science:Math Exam Resources/Courses/MATH101/April 2005/Question 02 (c)

MATH101 April 2005
Other MATH101 Exams

### Question 02 (c)

Let ${\displaystyle \displaystyle R}$ be the finite region bounded above by the curve

${\displaystyle \displaystyle y=4-x^{2}}$

and bounded below by

${\displaystyle \displaystyle y=2-x}$.

Express the volume of the solid obtained by rotating ${\displaystyle \displaystyle R}$ about the vertical line ${\displaystyle \displaystyle x=2}$ as a definite integral. You do not need to simplify or evaluate this integral.

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