Mathematics

Problem

A region in the first quadrant is bounded by the line

y=x

, the

x

–axis, and the line

x=4

. When this region is revolved about the line

y=-2

, a solid is formed. What is the volume of this solid? a)

\displaystyle \frac{208\pi}{3}

\displaystyle \frac{160\pi}{3}

160\pi

\displaystyle \frac{64\pi}{3}