Consider a solid whose cross sections perpendicular to the -axis are squares

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

Problem

Consider a solid whose cross sections perpendicular to the

x

-axis are squares. If the distance between the bounding curves at a particular value of

x

d(x)

units, which expression represents the area

A(x)

of the square cross section at that

x

? (a)

A(x)=2\,[d(x)]^{2}

(b)

A(x)=\dfrac{[d(x)]^{2}}{2}

(c)

A(x)=\bigl[d(x)\bigr]^2

(d)

A(x)=\pi\left(\dfrac{d(x)}{2}\right)^{2}