Archimedes showed that the three
corresponding slices would always balance, and so the three solids are in
The cone and sphere at A balance 4 cylinders at C.
1 x (cone volume + sphere volume) = 1/2 x (4 cylinder volumes)
Archimedes already knew the volume of the cylinder and the cone, so he could finally conclude that
sphere volume = 4/3 pi r3
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