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> | + | 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 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 |