Um estudo sobre o volume do cone e da esfera sem o uso do princípio de Cavalieri.

Abstract

In this work, we will use the supremum concept of a set to present a method to obtain the volume of any solid. From then on, we will deduce the formula for calculating the volume of a cone and a sphere without making use of Cavalieri’s Principle. We will also determine the formula for the volume of a pyramid, but using the Method of Exhaustion. An important tool we will use in this work is the concept and results of equidecomposable polygons.