Cavalieri's Theorem (English)
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Definition (keystage 3)
If it is possible to arrange two solids so that:
then the two solids have the same volume.
- Their bases are of equal area and in the same plane;
- Their heights are equal;
- Any plane parallel to the bases cuts both solids in sections of equal area,
then the two solids have the same volume.
Relations
- broader:
- (en) Theorem
- references:
- (en) Volume
- referenced:
- (en) Volume of a sphere
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