Tom M. Apostol and Mamikon Mnatsakanian, The method of punctured containers,
Forum Geometricorum, 7 (2007) 33--52.

Abstract: We introduce the method of punctured containers, which geometrically relates volumes and centroids of complicated solids to those of simpler punctured prismatic solids. This method goes to the heart of some of the basic properties of the sphere, and extends them in natural and significant ways to solids assembled from cylindrical wedges (Archimedean domes) and to more general solids, especially those with nonuniform densities.

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