Two uniform cones with base radius r are joined together by their plane faces. Their lines of

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Two uniform cones with base radius r are joined together by their plane faces. Their lines of symmetry are aligned. The height of one cone is 6r and the height of the other cone is 2r.

Given that the smaller cone is 50% denser than the larger cone, find the distance of the centre of mass from their joint plane face.

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