Calculate the volume of the solid generated when the region in the first quadrant…

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

Problem

Calculate the volume of the solid generated when the region in the first quadrant bounded by the

x

–axis, the line

x=4

, and the curve

y=\sqrt{x}

is revolved about the

x

–axis. (a)

16\pi

(b)

\dfrac{16\pi}{3}

(c)

8\pi

(d)

\dfrac{32\pi}{3}