In the Method of Archimedes, happily discovered in 1906, we are told that Democritus was the first to state the important propositions that the volume of a cone is one third of that of a cylinder having the same base and equal height, and that the volume of a pyramid is one third of that of a prism having the same base and equal height; that is to say, Democritus enunciated these propositions some fifty years or more before they were first scientifically proved by Eudoxus .
Sa Paraan ng Archimedes, sa kabutihang-palad natuklasan sa 1906, kami ay sinasabi na Democritus ay ang unang sa estado ng mahalagang propositions na ang lakas ng tunog ng isang kono ay isa ng ikatlong na ng isang silindro sa pagkakaroon ng parehong base at pantay na taas, at ang dami ng isang pataasin ay isa ng ikatlong na ng isang prisma pagkakaroon ng parehong base at pantay na height; na sabihin, Democritus enunciated ang mga propositions ilang limampung taon o higit pa bago sila ay unang scientifically proved by Eudoxus.