Consider the region in the –plane bounded by the graph of and the –axis for

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

Problem

Consider the region in the

xy

–plane bounded by the graph of

y=|x|

and the

x

–axis for

-2\le x\le2

. Cross sections perpendicular to the

x

–axis are rectangles whose heights are twice the lengths of their bases (the bases lie in

R

and are vertical). What is the volume of the solid? (a)

\dfrac{64}{3}

(b)

\dfrac{16}{3}

(c)

\dfrac{32}{3}

(d)

\dfrac{8}{3}