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visual proof cone volume
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Proof without words that the volume of a cone is a third of a cylinder of equal diameter and height by CMG Lee. 1. A cone and a cylinder have radius r and height h. 2. Their volume ratio is maintained when the height is scaled to h' = r √Π. 3. The cone is decomposed into thin slices. 4. Each slice is transformed into a square of side h' using Cavalieri's principle. 5. The pyramid is replicated twice. 6. Combining them into a cube shows that the volume ratio is 1:3.