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Cavalieri’s Determination of the Volume
of the Sphere
Bonaventura Cavalieri (15981647) was a contemporary of Galileo who
considered him the greatest geometer since Archimedes.
One of his powerful tools has
been called
Cavalieri’s Principle
which states that if two solids have the same height and
at each level have the same cross sectional area, then they both have the same volume.
This is represented with a mnemonic diagram below.
Same Areas
Now we give the diagram that yields a formula for the volume of the sphere.
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 Spring '08
 BLOCK
 Calculus

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