Calculator and formulas for calculating a spindle torus
In the spindle torus, the distance from the center of the tube to the center of the torus is smaller than the radius of the tube. The spindle torus therefore has no hole in the middle but only an indentation.
To calculate the spindle torus, enter the radius of the tube r and the distance from the center of the tube to the center of the torus. Then click on the 'Calculate' button
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| Torus breadth | \(\displaystyle b = 2 \cdot (R + r)\) |
| Inner height | \(\displaystyle h = 2 \cdot \sqrt{r^2 - R^2}\) |
| Volume | |
| \(\displaystyle V = \frac{2}{3} \cdot π \cdot ( 2\cdot r^2 + R^2) \cdot \sqrt{r^2 - R^2} + π \cdot r^2 \cdot R \cdot \left(π + 2\cdot atan\left(\frac{R}{\sqrt{r^2 - R^2}}\right)\right)\) | |
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