Mathematics

Problem

Consider the region bounded above by

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}

14\pi

\dfrac{14\pi}{3}

\dfrac{7\pi}{3}