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Hammer and nails, but to me the intuitive derivation of the volume formula would be through integration. Approximate slice of sphere as a cylinder, and sum up t
by zokier 7y ago
Hammer and nails, but to me the intuitive derivation of the volume formula would be through integration. Approximate slice of sphere as a cylinder, and sum up the volumes of those cylinders as their thickness approaches zero
- ColinWright 7y agoThis was all done before calculus had been developed, and the ideas here are clear precursors of the ideas later made precise by Newton and Leibniz. The intuitive derivation is by thin slices that are thin enough to see why it's true. The trained and sophisticated version is "Well, it's just calculus, isn't it."