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Example 10,Determine the position of the centre of maeof a hemisphere of radius R.Solution. Let ρ be thedensity of the material ofthe hemisphere. Take itscentre O as the origin. Thehemisphere can be assumedto be made of up a larenumber of co-axial discs,Consider one such elemen-tary disc of radius y andotal thickness dx at a distance 3xdxmilar te ofh-1from the origin.Fig. 7.13are

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