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 | + | 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> |
[[Image:Mock_AIME_2_2007_Problem8.jpg]] | [[Image:Mock_AIME_2_2007_Problem8.jpg]] | ||
Revision as of 17:07, 10 July 2014
Problem
A right circular cone of base radius 
cm and slant height 
cm is given. 
is a point on the circumference of the base and the shortest path from around the cone and back is drawn (see diagram). If the length of this path is 
where 
is squarefree, find 
Solution
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See Also
| Mock AIME 2 2006-2007 (Problems, Source) | ||
| Preceded by Problem 6 |
Followed by Problem 8 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
