The region in the first quadrant bounded by

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

Problem

y = \sqrt{x}

, the

x

-axis, and the line

x = 4

is revolved about the horizontal line

y = -1

. What is the volume of the solid generated? (a)

\displaystyle \frac{40\pi}{3}

(b)

\displaystyle \frac{56\pi}{3}

(c)

\displaystyle \frac{28\pi}{3}

(d)

\displaystyle \frac{68\pi}{3}