Let be the region in the first quadrant bounded by and

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

Problem

Let

R

be the region in the first quadrant bounded by

y = \sqrt{x}

and

y = x

. When

R

is revolved about the line

y = -1

, what is the volume of the resulting solid? (a)

\pi

(b)

\dfrac{\pi}{6}

(c)

\dfrac{\pi}{2}

(d)

\dfrac{\pi}{4}