CavalieriSphere - Cavalieris Determination of the Volume of...

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Cavalieri’s Determination of the Volume of the Sphere Bonaventura Cavalieri (1598-1647) 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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