Home > Appreciation, Challenge, Geometry > Are you an optimist?

Are you an optimist?


Is this cone (approximately) half-empty, or (approximately) half-full?

                                        Cone

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  1. Sam Kolins
    July 7, 2010 at 5:27 pm

    Looks half-full to me. Interesting extension though: that looks like more than half though. Seems a lot like an optical illusion or something, doesn’t it? 😛

  2. July 8, 2010 at 9:07 am

    A nice little problem would be to find the height required to fill the cone exactly half-way, in terms of the radius of the base and the slant-height of the cone (or, equivalently, the “angle” of the cone).

  3. dhc
    July 10, 2010 at 12:34 am

    Another extension is not using a right cone (slanted cone instead) with the same height.

    As I see it, the cone is half-empty, but apparently that makes me a pessimist.

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