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Has the imperial system gone to far?
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this post was submitted on 17 May 2025
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Assigning a value of 5 to pi, although ludicrous IRL, doesn't affect the problem. Plug the values into the equation and it will still give an answer that's correct in context.
Do cylinders even exist in metrics where pi = 5 ?
Technically no, because pi equals pi not 5. But you can approximate its value as 3 or 5 or whatever you want, knowing it's not exact and that your result will only be an approximation. I mean you could also ask how long light takes to reach us from Alpha Centauri if the speed of light is 1000 mph. It's not, but if you make that a condition of the problem you can do the calculation just fine.
I think that reason would make it "Technically Yes", since False (pi = 5) implies False (cylinders exist) is (vacuously) True ("absurd premise").
Yes. The 3d shape existence is not affected by changing pi values
Cause it's just a (n-1)-dimensional ball extruded along the remaining axis, or do all 3d shapes exist on (nearly) all 3d metrics?
Mostly because the actual pi values can vary in between non/euclidean geometries. Within extremely strong gravitational fields, spacetime becomes highly non euclidean, affecting the C/d ratio of an actual circle, so I'd wager this would affect pi as well
For the benefit of doubt, maybe the test is from an alternate dimension that doesn't use euclidean space.
I've been there, I think, but it was really difficult to triangulate my location and confirm
That's because you were supposed to rhombusulate, not triangulate.