# Difference between revisions of "Mock AIME 2 2006-2007 Problems/Problem 7"

## Problem

A right circular cone of base radius $17$cm and slant height $34$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 $m+n.$