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July 21st, 2017, 09:58 AM  #1 
Senior Member Joined: Oct 2013 From: New York, USA Posts: 541 Thanks: 77  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?

July 21st, 2017, 07:36 PM  #2 
Senior Member Joined: May 2016 From: USA Posts: 760 Thanks: 304 
I suspect there is a simple proof through integral calculus.


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cones, proof, spheres, volume 
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