For , let be the region bounded above by the curve and below by the -axis. The region…

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

Problem

For

0\le x\le4

, let

R

be the region bounded above by the curve

y=\sqrt{x}

and below by the

x

-axis. The region

R

is revolved about the horizontal line

y=-2

to generate a solid. Which of the following is the volume of the solid? (a)

\displaystyle \frac{112\pi}{3}

(b)

\displaystyle \frac{88\pi}{3}

(c)

\displaystyle \frac{56\pi}{3}

(d)

\displaystyle \frac{136\pi}{3}