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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.
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
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?