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You know that the volume of a box is Length × Width × Height. In other words, it's the area of the box's "footprint" multiplied by the height. It makes sense that the volume of a cylinder would also be the area of its footprint times height. The "footprint" of a cylinder is a circle, and its area is πr². So, the volume of a cylinder is πr²h.

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Q: What is the volume of cylinder without top?
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