A solid has as its base the region bounded above by the curve and below by the –axis for

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

Problem

A solid has as its base the region bounded above by the curve

y=\sqrt{x}

and below by the

x

–axis for

0\le x\le L

. Cross sections taken perpendicular to the

x

–axis are equilateral triangles whose sides lie in the base. If the volume of the solid is

18\sqrt{3}

cubic units, determine the value of

L