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《Studies in College Mathematics》 2012-06
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Relationship between Volumes and Surface Areas ofTwo Geometrical Solids

MA Rong1,ZHANG Yulong2 (1.School of Science,Northwestern Polytechnical University,Xi'an 710072,PRC; 2.School of Electrical Engineering,Xi'an Jiaotong University,Xi'an 710049,PRC)  
In this paper,we use the properties of the differential and integral to study the relationship between the volumes and surface areas of two types of geometrical solids.With a new concept of "radius",we prove that the derivative of volume function with respect to its radius is equal to the surface area for the two geometrical solids.
【Fund】: 西北工业大学基础研究基金(JC201123)
【CateGory Index】: O172
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