The region bounded by

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

Problem

y=x

, the

x

-axis, and

x=2

is revolved about the horizontal line

y=3

. What is the resulting volume? (a)

\displaystyle \frac{44\pi}{3}

(b)

\displaystyle \frac{28\pi}{3}

(c)

\displaystyle \frac{8\pi}{3}

(d)

\displaystyle \frac{26\pi}{3}