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IMO 1990 — Shortlisted problems Question 10

IMO Shortlist · IMO 1990 — Shortlisted problems

Question 10

(ICE 2) A plane cuts a right circular cone into two parts. The plane is tangent to the circumference of the base of the cone and passes through the midpoint of the altitude. Find the ratio of the volume of the smaller part to the volume of the whole cone.