A solid has rectangular cross-sections perpendicular to the x-axis

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A solid has rectangular cross-sections perpendicular to the x-axis. Each rectangle has constant height

3

, and its base lies in the region between the graph of

y = x^{2}

and the x-axis for

0 \le x \le b

. The volume of the solid is

18

cubic units. Determine the value of

b

, rounded to the nearest hundredth.