perplexus.info :: Shapes : Square in a Cone

Square in a Cone (Posted on 2016-07-29)

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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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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