A solid has square cross sections perpendicular to the -axis

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

Problem

A solid has square cross sections perpendicular to the

x

-axis. Its base is the region bounded by the curve

y=x^{2}

and the

x

-axis for

0\le x\le 2

. What is the volume of the solid? (a)

\dfrac{16}{5}

(b)

\dfrac{32}{5}

(c)

\dfrac{32}{15}

(d)

\dfrac{64}{5}