The base of a solid is the region under the curve between and

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

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}

(b)

\dfrac{128}{15}

(c)

\dfrac{256}{15}

(d)

\dfrac{144}{5}