This week Eric Strebel's got a great video up that every new ID student should watch. Let's say you want to build something relatively precise, in this case a cylindrical vessel that can hold exactly 500mL, and you want it to have a nice radius around the base and a friction-fit lid. But you have very limited resources, no CAD skills, no digital fabrication machines, and not even shop access. What do you do?
This:
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Free cad software, or even the googler, would make that math easier. However, the real world difference here is the wall thickness of the material, and the fact that the smaller neck cylinder wasn't calculated into the equation. And, there is usually a pushed in area on most manufactured 'bottle' containers bottom surfaces, to avoid wobble when sat on a somewhat flat surface. Sure, its close, in volume but, when you are titling your video with the word precisely in it, well, you are asking for comments. And, I didn't have the disc sander in my dorm to make that bevel edge.