Thingiverse
The Napkin Ring Problem
by divbyzero
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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.
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.
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