Sujet : Re: Maximize Cistern Volume -- (cut out 4 squares (at Corners) and discard them)
De : efji (at) *nospam* efi.efji (efji)
Groupes : rec.puzzles sci.lang sci.mathDate : 04. May 2025, 17:50:38
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Organisation : A noiseless patient Spider
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Le 04/05/2025 à 17:40, Ross Finlayson a écrit :
It's sort of like soup cans vis-a-vis fish tins, or the idea
that cans, to get the most volume of a cylinder, have
at least two solutions.
Nope.
Classical optimization homework : "maximize the volume of a cylindric can under the constraint of a given surface", or its dual "minimize the surface of a cylindric can under the constraint of a given volume". Both problems have a unique solution : the height H is twice the radius R of the circular basis.
-- F.J.
Maximize Cistern Volume -- (cut out 4 squares (at Corners) and discard them)
Re: Maximize Cistern Volume -- (cut out 4 squares (at Corners) and discard them)