stella Math Forum - Problem of the Week stella

Filling Glasses

If we were to fill a glass with water at a constant rate (for example, 1 cubic inch per minute), we could graph the height of the water in the glass as time goes by.

Suppose we fill the three glasses below in such a manner. Match up each glass with the graph that best describes the height of the water in the glass over time.

This problem may seem different from the types of problems that you're used to, but don't assume that that means you can't do it. Think about how the shape of the glass changes the rate at which the water rises. If you're stuck, no problem. Tell us what you are thinking and make sure to leave a comment about the help you want.

Extra: Describe the glass that would correspond to the leftover graph.

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