File:Visual proof cone volume.svg

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	Date/Time	Thumbnail	Dimensions	User	Comment
current	14:54, 16 October 2024	No thumbnail	512 × 683 (4 KB)	Cmglee	Label base areas

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Short title	visual proof cone volume
Image title	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.
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