MathDB

3

Part of 2000 ITAMO

Problems(1)

ratio of volumes of pyramids, pyramid inscribed in a sphere

Source: ITAMO 2000 p3

1/25/2020
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.
ratiogeometry3D geometrypyramidVolumesphere