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

MATHEMATICS · Subjective · 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 bounded by the graph of

y = \sqrt{x}

and the x-axis for

0 \le x \le b

. The volume of the solid is

20

cubic units. Determine the value of

b

, rounded to the nearest tenth.