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July 21st, 2017, 09:58 AM   #1
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Is There A Proof Of This About The Volume Of Cones and Spheres?

Take a cone with equal radius and height, so the (r^2)h can be written as r^3. Based on the 4/3 and 1/3 coefficients in the volume formulas, a sphere with that radius will have four times the volume of the cone. Is there a proof that if you took four identical cones with equal radius and height and could make the material into whatever shape you wanted it could make a sphere with the same radius as each cone?
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July 21st, 2017, 07:36 PM   #2
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I suspect there is a simple proof through integral calculus.
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