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Principle of Cavalieri: volume of the ball

В благодарную память о uStas'е http://tube.geogebra.org/ustas Illustration of the volume of the ball using the principle of Cavalieri. Suppose two regions in three-space (solids) are included between two parallel planes. If every plane parallel to these two planes intersects both regions in cross-sections of equal area, then the two regions have equal volumes.