Mathematics

Problem

The region in the first quadrant bounded by the line

y=\sqrt{x}

, the

x

-axis, and the vertical line

x=4

is revolved about the

y

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

32\pi

\dfrac{64\pi}{5}

\dfrac{128\pi}{5}

\dfrac{88\pi}{3}