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Square in a Cone (Posted on 2016-07-29) Difficulty: 3 of 5
Consider a hollow right circular cone having radius 20 and height 16.

Find the maximum possible area of the square that can lie inside the cone.

No Solution Yet Submitted by K Sengupta    
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Solution Can this be all? | Comment 1 of 2
After playing with this all morning -- I even made a paper model -- I can't see a way of making a larger square than the one that lies flat on the circular base.

The area of this square is 800.

Perhaps a taller cone would give a more interesting solution.

  Posted by Jer on 2016-07-29 14:13:27
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