Consider the region bounded above by

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

Problem

y=|x-1|

, below by the x-axis, and on the left and right by

x=0

and

x=2

. The region is revolved about the horizontal line

y=-2

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

\dfrac{28\pi}{3}

(b)

14\pi

(c)

\dfrac{14\pi}{3}

(d)

\dfrac{7\pi}{3}