The region bounded by and for is revolved about the -axis to form a solid

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

Problem

The region bounded by

y = x

and

y = 2 - x

for

0\text{}\le x\le 2

is revolved about the

x

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

2\pi

(b)

4\pi

(c)

\dfrac{16\pi}{3}

(d)

\dfrac{8\pi}{3}