The region in the first quadrant bounded by the curves and is revolved about the…

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

Problem

The region in the first quadrant bounded by the curves

y=x

and

y=x^{2}

is revolved about the vertical line

x=-1

. Which of the following equals the volume of the resulting solid? (a)

\displaystyle \frac{3\pi}{2}

(b)

\displaystyle \frac{\pi}{6}

(c)

\displaystyle \frac{\pi}{2}

(d)

\displaystyle \frac{\pi}{4}