The Napkin Ring Problem 3D model thumbnail

The Napkin Ring Problem

by divbyzero · via Thingiverse
FormatSTL
CategoryOther
LicenseCC BY-SA
UploadedFeb 28, 2026
⬇ 36 downloads ❤ 4 likes 👁 305 views

Description

Recall the "napkin ring problem": Take a sphere of radius r and drill a hole along a diameter so the resulting shape has height h . Then the volume, V = π_h³_/6, does not depend on r ! These files consist of drilled spheres of the type described in the problem. Each has a height of 4cm, but the radii are 4.15 cm, 5 cm, 7 cm, and 10 cm. It is essential that you print them with 100% fill . If you do, you will find that they all weigh the same amount and hence have the same volume. Thank you to Colm Mulcahy for suggesting this project.
Calculus geometry integration mathematics napkin ring teaching aid volume

Originally published on Thingiverse