When the region enclosed by and on is revolved about the -axis

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

Problem

When the region enclosed by

y=x

and

y=x^2

0\le x\le 1

is revolved about the

x

-axis, a solid is formed. What is the exact volume of this solid? (a)

\dfrac{\pi}{6}

(b)

\dfrac{4\pi}{15}

(c)

\dfrac{2\pi}{15}

(d)

\dfrac{\pi}{3}