Mathematics

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}

384\pi

\dfrac{896\pi}{5}

\dfrac{2048\pi}{15}