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MathNet 1977 — Part 01 Question 5

Math Olympiad Vault · MathNet 1977 — Part 01

Question 5

A right circular cone of base radius $1$ cm and slant height $3$ cm is given. $P$ is a point on the circumference of the base and the shortest path from $P$ around the cone and back to $P$ is drawn (see diagram). What is the minimum distance from the vertex $V$ to this path?

Question illustration