A region in the first quadrant is bounded above by the graph of and below by the -axis for

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

Problem

A region in the first quadrant is bounded above by the graph of

y=\sqrt{x}

and below by the

x

-axis for

0\le x\le 4

. Determine the volume of the solid generated when this region is revolved about the horizontal line

y=3

. (a)

28\pi

(b)

24\pi

(c)

36\pi

(d)

12\pi