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. At which

x

-value must the definite integral for the volume change its limits to account for the switch in outer and inner radii? (a)

\dfrac{\pi}{6}

(b)

\dfrac{\pi}{4}

(c)

\dfrac{\pi}{3}

(d)

\dfrac{\pi}{2}