Tricylinder Calculation
Calculator and formulas for calculating a tricylinder (Steinmetz solid)
This function calculates the volume and surface area of a Steinmetz solid made up of three cylinders (tricylinder).
A tricylinder (Steinmetz solid) is a solid made up of three vertical circular cylinders whose axes intersect perpendicularly.
To perform the calculation, select the property you know and enter its value. Then click on 'Calculate' button.
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\(r\) = Radius of the tubes
Trizylinder von Hellingspaul, CC BY-SA 4.0, via Wikimedia Commons
Construction of a tri-cylinder from Van helsing, CC BY-SA 3.0, via Wikimedia Commons
Tricylinder formulas
Volume \(\small{V}\)
\(\displaystyle V=(16 - 8\cdot \sqrt{2}) \cdot r^3\)
Surface \(\small{S}\)
\(\displaystyle S=3 \cdot (16 - 8\cdot \sqrt{2}) \cdot r^2 \)
Radius \(\small{r}\)
\(\displaystyle r= \sqrt[3]{\frac{V}{(16 - 8\cdot \sqrt{2}) }}\) \(\displaystyle \ \ \ = \sqrt{\frac{S}{(16 - 8\cdot \sqrt{2})}}\)
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