**Archimedes of Syracuse (87 BC – 212 BC), before the eternal time sucks of Facebook and DrawSomething, sat and imagined a cone and a sphere balancing one side of a scale, and on the other side balancing against these two objects was a cylinder. The sphere he imagined has the same diameter as height of the cylinder and the cone and he reasoned that the scale would remain perfectly balanced.**

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**But would it? Using just their volume formulas, which Archimedes did not yet have, can we see that this works? **

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**Does sphere + cone = cylinder?**

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