Difference between revisions of "2004 AIME II Problems/Problem 11"

 
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== Solution ==
 
== Solution ==
 
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{{solution}}
 
== See also ==
 
== See also ==
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* [[2004 AIME II Problems/Problem 10| Previous problem]]
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* [[2004 AIME II Problems/Problem 12| Next problem]]
 
* [[2004 AIME II Problems]]
 
* [[2004 AIME II Problems]]

Revision as of 23:55, 10 November 2006

Problem

A right circular cone has a base with radius 600 and height $200\sqrt{7}.$ A fly starts at a point on the surface of the cone whose distance from the vertex of the cone is 125, and crawls along the surface of the cone to a point on the exact opposite side of the cone whose distance from the vertex is $375\sqrt{2}.$ Find the least distance that the fly could have crawled.

Solution

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See also