Hyperboloid Calculation

Calculator and formulas for calculating a hyperboloid

Calculate volume of a hyperboloid


This function calculates the volume of a Hyperboloid. To calculate the hyperboloid, enter the radii a, r and the height. Then click the 'Calculate' button.

Hyperboloid Calculater

 Input
Base Radius r
Middle Radius a
Height h
Decimal places
 Results
Volume V
Shape parameter c

Hyperboloid

Picture by Anton Sel, CC BY-SA 4.0, via Wikimedia Commons

Formulas for calculating a hyperboloid


Volume \(\displaystyle V= \frac{1}{3} \cdot π \cdot h \cdot (2\cdot a^2+r^2)\)
Shape parameter \(\displaystyle c = \sqrt{\frac{h^2}{4 \cdot \left(\frac{r^2}{a^2} - 1\right)}} \)
Base radius \(\displaystyle r = a \cdot \sqrt{1 + \frac{h^2}{4\cdot c^2}} \)

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