The region between and from to is revolved about the line

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

Problem

The region between

y=\sqrt{x}

and

y=\dfrac{x}{2}

from

x=0

x=4

is revolved about the line

y=-1

. Which of the following is the exact volume of the resulting solid? (a)

\dfrac{8\pi}{3}

(b)

\dfrac{32\pi}{3}

(c)

\dfrac{16\pi}{3}

(d)

\dfrac{8\pi}{15}