Calculate the exact volume of the solid generated when the region bounded by and for…

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

Problem

Calculate the exact volume of the solid generated when the region bounded by

y=x

and

y=2-x

for

0\le x\le 2

is revolved about the horizontal line

y=-1

. (a)

\dfrac{8\pi}{3}

(b)

4\pi

(c)

8\pi

(d)

\dfrac{38\pi}{3}