The region bounded by the curves and for is revolved about the line

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

Problem

The region bounded by the curves

x=y^{2}

and

x=4y

for

0\le y\le4

is revolved about the line

x=-2

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

\dfrac{4208\pi}{15}

(b)

384\pi

(c)

\dfrac{896\pi}{5}

(d)

\dfrac{2048\pi}{15}