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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. Using Cavalieri's principle, each slice is reshaped into a square of the same area.
    5. The pyramid is replicated twice.
    6. Combining them into a cube shows that the volume ratio is 1:3.
    Source Own work
    Author Cmglee

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    Date/TimeThumbnailDimensionsUserComment
    current14:54, 16 October 2024Thumbnail for version as of 14:54, 16 October 2024512 × 683 (4 KB)CmgleeLabel base areas
    14:06, 16 October 2024Thumbnail for version as of 14:06, 16 October 2024512 × 683 (4 KB)CmgleeFlip gradient and fix description wikitext
    13:49, 16 October 2024Thumbnail for version as of 13:49, 16 October 2024512 × 683 (4 KB)Cmglee{{Information |Description=Proof without words that the volume of a cone is a third of a cylinder of equal diameter and height by CMG Lee. {| |valign="top"|{{nowrap|1.}}||A cone and cylinder of radius ''r'' and height ''h''. |- |valign="top"|2.||The volume ratio is maintained when the height is scaled to ''h''' = ''r'' √''Π''. |- |valign="top"|3.||The cone is decomposed into thin slices. |- |valign="top"|4.||Each silce can be transformed into a square of side ''h''' using Cavalieri...

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