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

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== Problem ==
 
== Problem ==
  
A right circular cone of base radius <math>17</math>cm and slant height <math>34</math>cm is given. <math>P</math> is a point on the circumference of the base and the shortest path from <math>P</math> around the cone and back is drawn (see diagram). If the length of this path is <math>m\sqrt{n},</math> where <math>n</math> is squarefree, find <math>m+n.</math>
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A right circular cone of base radius <math>17</math>cm and slant height <math>51</math>cm is given. <math>P</math> is a point on the circumference of the base and the shortest path from <math>P</math> around the cone and back is drawn (see diagram). If the length of this path is <math>m\sqrt{n},</math> where <math>n</math> is squarefree, find <math>m+n.</math>
  
 
[[Image:Mock_AIME_2_2007_Problem8.jpg]]
 
[[Image:Mock_AIME_2_2007_Problem8.jpg]]

Revision as of 18:07, 10 July 2014

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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