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MathNet 2000 — Math Olympiad Vault Question 104

Math Olympiad Vault · MathNet 2000 — Math Olympiad Vault

Question 104

A pyramid with quadrilateral base $ABCD$ and vertex $V$ is inscribed in a sphere. It is known that $AD=2BC$, and that the lines extending $AB$ and $CD$ meet at a point $E$ on the side of segment $BC$. Calculate the ratio of the volume of the pyramid with triangular base $AED$ and vertex $V$ to the volume of the given pyramid.