Just a small problem
Geometry
Level
3
Considering all possible 3D bodies of volume 1, what is the minimum possible surface area that can be obtained?
Express your answer up to 3 decimal places.
The answer is 4.835.
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For any 3D body with a fixed volume, a sphere always has least surface area; its also the reason why bubbles are circular, since they try to minimise surface area (because of surface tension) but in the process can't change their volume drastically. Simply write 4πr^3/3 = 1 and calculate 4πr^2