Why does a sphere have the lowest surface area out of all 3D shapes for a given volume?
In: Mathematics
Take a square and it’s perimeter for a given volume, not cut all the corners and now look at the perimeter for the octagon, and just keep cutting corners till you get a circle. It’s similar to how Pythagorean theorem show us a^2+b^2=c^2 c is always going to be shorter than A and B combined, think of the corners as A and B and the cut you make is C
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