The region bounded by

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

Problem

y^{2}=x

, the vertical line

x=4

, and the

x

-axis is revolved about the

y

-axis. What is the volume of the resulting solid? (a)

\dfrac{64\pi}{5}

(b)

\dfrac{128\pi}{5}

(c)

32\pi

(d)

\dfrac{256\pi}{5}