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Author:
Christopher Danielson

To apply volume of a cylinder to predict the outcome of a simple kitchen-based experiment.

Tutorial

The volume of a cylinder is found in the same way as the volume of other prisms: Area of the base multiplied by the height of the prism. A cylinder has a circular base, so its area is:

And then the volume of the prism is:

**Technical note:**** **A cylinder is not technically a prism, as the mathematical definition of a prism includes the restriction that a prism has a polygon for a base. A circle is not a polygon, so a cylinder is not a prism. But conceptually, they're the same thing. And there really is no mathematical trouble caused by thinking of a cylinder as a circular prism.

Now on with the show...

New package of salt on the right. Empty Tupperware container on the left.

When we pour the salt into the Tupperware, will the container fill? Will it spill?

Make a gut instinct guess first.

Useful information for answering these questions follows...

Use the Q&A to post your computations. How does your solution compare to the observed one?