Mathematics

Problem

Consider the region in the xy-plane bounded by

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

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

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

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