The region between the curves and for is revolved about the -axis

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

Problem

The region between the curves

y=x^{2}+1

and

y=x+1

for

0\le x\le 2

is revolved about the

x

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

5\pi

(b)

6\pi

(c)

4\pi

(d)

\dfrac{16\pi}{3}