Difference between revisions of "1977 Canadian MO Problems/Problem 5"

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Revision as of 14:20, 7 October 2014

Problem

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

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Solution