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2 articles trouvés pour ce sujet.
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The popcorn box problem |
2013-11-07 |
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Dave pose la question :
We know that calculus can be used to maximise the volume of the tray created when cutting squares from 4-corners of a sheet of card and then folding up.
What I want is to find the sizes of card that lead to integer solutions for the size of the cut-out, the paper size must also be integer. EG 14,32 cutout 3 maximises volume as does 13,48 cutout 3.
I have done this in Excel but would like a general solution and one that does not involve multiples of the first occurence, as 16, 10 cutout 2 is a multiple of 8,5 cutout 1.
Walter Whiteley lui répond. |
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Maximizing the volume of a cone given the slant length |
2007-05-14 |
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Christina pose la question :
A coffee filter for a new coffee maker is to be designed using a conical filter. The filter is to be made from a circle of radius 10cm with a sector cut from it such that the volume of coffee held in the filter is maximised. Determine the dimensions of the filter such that the volume is maximised.
Stephen La Rocque and Kerstin Voigt lui répond. |
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