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ratio of volumes of pyramids, pyramid inscribed in a sphere

Source: ITAMO 2000 p3

January 25, 2020
ratiogeometry3D geometrypyramidVolumesphere

Problem Statement

A pyramid with the base ABCDABCD and the top VV is inscribed in a sphere. Let AD=2BCAD = 2BC and let the rays ABAB and DCDC intersect in point EE. Compute the ratio of the volume of the pyramid VAEDVAED to the volume of the pyramid VABCDVABCD.
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