using contour plot to solve the problem

2021 3 14
1 个回答
更新时间：2021 3 16
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Hi I want to use contour plot to find the minimum dimension of a can with the volume of 315, but I don't know how to do it. I'm sorry I'm pretty new to matlab

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darova
darova 2021-3-14
Can you describe the form of a can? DO you have a picture?
Dai Nguyen
Dai Nguyen 2021-3-14
it has cylindrical shape with closed top
Adam Danz
Adam Danz 2021-3-14
What you mean by minimum dimension? A can has a height and a radius or diamter. How would color be used to find the minimum of those two dimensions?
Dai Nguyen
Dai Nguyen 2021-3-14
I want to reduce the cost for manufacturing the can by reducing the dimension of it, but still keeping the volume. I did the math with derivation and found that in order to minimize the cost the height has to be the same with the radius
Dai Nguyen
Dai Nguyen 2021-3-14
is there any way I can use contour plots to demonstrate it
darova
darova 2021-3-14
I think you need simple surf. Can you show your calculations?
Adam Danz
Adam Danz 2021-3-14
Yes, in the case of derivation, a smooth surface might be better than the 2D grid I suggested in my answer.

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回答（1 个）

Adam Danz
Adam Danz 2021-3-14
编辑：Adam Danz 2021-3-15

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I assume you have an n-by-m matrix of costs for n heights and m radii.
I'd use heatmap or imagesc to create a gridded color display where x is can heights, y is radii (or the other way around) and the colorbar defines the cost.

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Dai Nguyen
Dai Nguyen 2021-3-16
yes it will cost about a quarter to produce 1 meter, the dimension that I calculate to minimize the cost but still keeping the same volume is 4.645m for both height and radius

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