Consider the region in the xy-plane bounded by

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

Problem

y=|x-1|

, the x-axis, and the vertical lines

x=0

and

x=2

. The region is revolved about the horizontal line

y=-3

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

12\pi

(b)

\displaystyle \frac{20\pi}{3}

(c)

\displaystyle \frac{16\pi}{3}

(d)

\displaystyle \frac{10\pi}{3}