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MathNet 2008-part-05 — 164 problems (EN–VI) Question 3

Math Olympiad Vault · MathNet 2008-part-05 — 164 problems (EN–VI)

Question 3

Consider a circular cone with vertex $V$, and let $ABC$ be a triangle inscribed in the base of the cone, such that $AB$ is a diameter and $AC = BC$. Let $L$ be a point on $BV$ such that the volume of the cone is 4 times the volume of the tetrahedron $ABCL$. Find the value of $BL / LV$.