The region bounded by and on is revolved about the -axis

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

Problem

The region bounded by

y = \sin x

and

y = \cos x

0\le x\le \tfrac{\pi}{2}

is revolved about the

x

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

\dfrac{\pi}{2}

(b)

2\pi

(c)

\pi

(d)

1