Post #2712449
2026-02-28 04:43 UTC
Idea: Produce 3D-printed slices of a (hollow) sphere, all of the same height. Print with 100% fill. They should all weigh the same.
Bam!
Replies (3)
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@divbyzero@mathstodon.xyz 2026-02-28 20:20
I just put these files on Thingiverse for anyone to download and print https://www.thingiverse.com/thing:7305536
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@sibrosan@mastodon.social 2026-02-28 06:07
@divbyzero@mathstodon.xyz I propose you try it with a hollow sphere of 30.0 cm diameter and a shell thickness of 14.9 mm, printing slices of 1mm thickness, one taken near the middle, and one just at the top of the sphere.
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@KarenCampe@mathstodon.xyz 2026-02-28 15:27
@divbyzero@mathstodon.xyz ok, now do the cone vs. cylinder question... cylinder = 3•cone volume. Or cone vs (cylinder – cone) which would be 2•cone volume. Or my absolute favorite: truncate a cone to make a frustum. Then the removed cone part and the frustum have volume ratio cone : frustum = cone height: (cone + frustum height)