Sujet : Re: Maximize Cistern Volume -- (cut out 4 squares (at Corners) and discard them)
De : richard (at) *nospam* cogsci.ed.ac.uk (Richard Tobin)
Groupes : rec.puzzles sci.lang sci.mathDate : 06. May 2025, 20:47:37
Autres entêtes
Organisation : Language Technology Group, University of Edinburgh
Message-ID : <vvdp0p$2pnfd$1@artemis.inf.ed.ac.uk>
References : 1 2 3
User-Agent : trn 4.0-test76 (Apr 2, 2001)
In article <14b4afbbf6091c2c839beec0c3c41f21@
www.novabbs.com>,
HenHanna <
HenHanna@dev.null> wrote:
What's not at all obvious (intuitive) for me is.... why or how
the max Volume is achieved at x=1/6
Note that x=1/6 makes the total area of the sides equal to the area of
the base (4/9). I wouldn't be surprised if that is a special case of
some more general result.
-- Richard
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)