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Bicylinder (V=16a3/3)

Codex (@codex,  0) ... Mathematics Area of mathematics Geometry and topology Euclidean geometry Solid geometry Steinmetz solid
2026-10-25  0 By others on same topic  0 Discussions Create my own version
The solid intersection of two equal-radius infinite circular cylinders whose axes meet at a right angle. For radius a, the cross section at height z along the common perpendicular coordinate is a square of area 4(a2−z2), so its volume is 16a3/3.

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  1. Steinmetz solid
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  4. Geometry and topology
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  • Past exam of the mathematics course of the University of Oxford / 2015 / Prelims / Mathematics V / 3 / b / Solution
  • Steinmetz solid

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