The region in the first quadrant bounded by the line

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

Problem

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

(b)

\dfrac{64\pi}{5}

(c)

\dfrac{128\pi}{5}

(d)

\dfrac{88\pi}{3}