Mathematics

Problem

The base of a solid is the region under the curve

y=4-x^{2}

between

x=-2

and

x=2

. Cross sections taken perpendicular to the

x

-axis are isosceles right triangles whose legs lie in the base region. What is the volume of the solid? a)

\dfrac{512}{15}

\dfrac{128}{15}

\dfrac{256}{15}

\dfrac{144}{5}