The region enclosed by ,

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The region enclosed by

y = \sqrt{x}

y = 0

, and

x = 9

is revolved about the line

x = -3

. What is the volume of the resulting solid? (a)

\dfrac{972\pi}{5}

(b)

\dfrac{1512\pi}{5}

(c)

\dfrac{756\pi}{5}

(d)

\dfrac{513\pi}{5}