MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration
Problem
The base of two solids is a disk of radius 5. Solid A has cross sections perpendicular to a fixed diameter that are equilateral triangles; solid B has cross sections perpendicular to the same diameter that are squares, each side equal to the chord length at that position. Rank the volumes of the two solids from least to greatest and justify your ranking in one or two sentences.