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. The base of the solid is the region between the curves

y=x^{2}

and

y=6-x^{2}

on the interval

-2\le x\le 2

. Four students propose the following integral expressions for the volume of the solid. (a)

I\text{ only}

(b)

III\text{ only}

(c)

IV\text{ only}

(d)

II\text{ only}