Mock AIME 2 2006-2007 Problems/Problem 7

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Problem

A right circular cone of base radius $17$cm and slant height $51$cm is given. $P$ is a point on the circumference of the base and the shortest path from $P$ around the cone and back is drawn (see diagram). If the length of this path is $m\sqrt{n},$ where $n$ is squarefree, find $m+n.$

Mock AIME 2 2007 Problem8.jpg

Solution

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See Also

Mock AIME 2 2006-2007 (Problems, Source)
Preceded by
Problem 6
Followed by
Problem 8
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