A solid has base the region bounded by the graphs of and the x-axis on

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

Problem

A solid has base the region bounded by the graphs of

y=x

and the x-axis on

0\le x\le 2

. At each

x

, the cross-section perpendicular to the x-axis is a rectangle whose height is

x^{2}

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

\dfrac{8}{3}

(b)

\dfrac{16}{3}

(c)

4

(d)

2