Consider the region bounded by and on the interval

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

Problem

Consider the region bounded by

y=|x|

and

y=x^{2}

on the interval

-1\le x\le 1

. A solid is formed by taking square cross sections perpendicular to the

x

-axis with this region as the base. What is the volume of the solid? (a)

\dfrac{1}{30}

(b)

\dfrac{1}{15}

(c)

\dfrac{1}{3}

(d)

\dfrac{2}{15}