A region is enclosed by the lines , ,

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

Problem

A region is enclosed by the lines

x=1

x=3

y=0

, and

y=2

. The region is revolved about the

y

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

32\pi

(b)

16\pi

(c)

8\pi

(d)

\dfrac{52\pi}{3}