this post was submitted on 12 Mar 2024
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[–] gamermanh@lemmy.dbzer0.com -1 points 8 months ago (2 children)

You sure about that?

Cylinders of the same volume will have the same area, so it should be the same amount of aluminum?

Maybe less, even, since the lid and bottom are thicker than the sides and on the taller can there's less of that thick top/bottom

[–] Jonnynny@lemm.ee 0 points 8 months ago* (last edited 8 months ago) (1 children)

Ignore things like the bevel, wall thickness, etc. Just calculating for a basic right cylinder, you can see how the surface area changes for different heights with a constant volume. I've outlined the standard dimensions of a can(inches). https://youtu.be/gL3HxBQyeg0

[–] gamermanh@lemmy.dbzer0.com -1 points 8 months ago

I had a feeling it'd math out something like that if I opened my fat mouth, lol

I do wonder if thickness of the walls or lid/bottom does have an effect, though, as there must be some reason they make these weird ass cans

[–] intensely_human@lemm.ee -1 points 8 months ago (1 children)

That can’t be true.

Consider a cylinder cut in half, giving a circular cross section. Cover each new circular gap with new aluminum.

Now you’ve enclosed the same volume in cylinders, with a different surface area.

[–] gamermanh@lemmy.dbzer0.com 0 points 8 months ago (1 children)

You also created 2 cylinders where once there was one, which is not what was being discussed. You even mention that you added material:

Cover each new circular gap with new aluminum

I could have said "2 cylinders of the same volume" but I felt context made that clear

[–] intensely_human@lemm.ee -1 points 8 months ago

Yes I did say that I added material. That’s the point: you cannot do this transformation without adding material.

But you’re saying this is only with two cylinders?