The region is bounded by the curves and for

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

Problem

The region

R

is bounded by the curves

y=2-x

and

y=x

for

0\le x\le 2

. When

R

is revolved about the

x

-axis, what is the volume of the resulting solid? (a)

\dfrac{14\pi}{3}

(b)

2\pi

(c)

4\pi

(d)

\dfrac{8\pi}{3}