Spindle Torus Calculation
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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Formulas for the spindle torus
Torus breadth (\(\small{b}\))
\(\displaystyle b = 2 \cdot (R + r)\)
Inner height (\(\small{h}\))
\(\displaystyle h = 2 \cdot \sqrt{r^2 - R^2}\)
Volume (\(\small{V}\))
\(\displaystyle V = \frac{2}{3} \cdot π \cdot ( 2\cdot r^2 + R^2) \cdot \sqrt{r^2 - R^2}\) \(\displaystyle +\ π \cdot r^2 \cdot R \cdot \left(π + 2\cdot atan\left(\frac{R}{\sqrt{r^2 - R^2}}\right)\right)\)
Round solids functions
Sphere • Spherical cap • Spherical sector • Spherical segment • Spherical ring • Spherical wedge • Spherical corner • Spheroid • Triaxial ellipsoid • Ellipsoid volume • Spherical shell • Solid angles • Torus • Spindle torus • Oloid • Elliptic Paraboloid
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