# The glass is half-full… I think.

This post inspired a classroom activity and corresponding reflections. If you would like to see how this went when it was given to a group of young people, please feel free to check out Mathematical Modeling: The Glass is Half-Full.

I was drinking a glass of water recently. The glass looked like this:

Notice how the glass gets wider as the glass gets taller. This will make the task of drawing horizontal half-way line (that is, the line where half the volume of the glass is above the line and have the volume of the glass is below the line) more difficult.

So, how would you figure out where to draw the horizontal half-way line? Would that method work for finding the quarter lines as well?

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## 2 thoughts on “The glass is half-full… I think.”

1. Not sure if I want to reply so you get the ad money from your ad there big guy. I think that Geometry is hard and I wouldn’t be able to figure this out without wolframalpha

• Believe me, I don’t get a nickel from the ads. If I should be, someone needs to tell me how to get access to it.

Happy 2013, Mr. Diemer.