Mathematics

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}

\dfrac{1}{15}

\dfrac{1}{3}

\dfrac{2}{15}