Post #676531
2026-02-28 04:43 UTC
Another 3D-printing suggestion from Colm Mulcahy:
Archimedes proved that if you slice a sphere of radius r with two planes a distance h apart, the surface area is 2πrh—the same as a cylinder of the same radius and height. So, it doesn't depend on where the slicing occurs.
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Replies (2)
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@divbyzero@mathstodon.xyz 2026-02-28 04:43
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!
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@rreusser@mathstodon.xyz 2026-02-28 05:29
@divbyzero@mathstodon.xyz reminds me of the Martin Gardner problem where you drill though a sphere. If the length of the hole ends up at six inches, what is the volume of the remaining material? I won’t spoil it, but I always found the simplest way to the solution pretty enjoyable.