A region in the first quadrant is bounded by the line

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

Problem

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}

(b)

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

(c)

160\pi

(d)

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