Are You An Optimist?

Published by patrick honner on

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

                                        Cone Icon

patrick honner

Math teacher in Brooklyn, New York


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? 😛

mrhonner · 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).

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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