Hyperboloid Calculation

Calculator and formulas for calculating 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

Bild von Anton Sel, CC BY-SA 4.0, via Wikimedia Commons

Hyperboloid formulas


Volume \(\small{V}\)

\(\displaystyle V= \frac{1}{3} \cdot π \cdot h \cdot (2\cdot a^2+r^2)\)

Parameter\(\small{c}\)

\(\displaystyle c = \sqrt{\frac{h^2}{4 \cdot \left(\frac{r^2}{a^2} - 1\right)}} \)

Base radius \(\small{r}\)

\(\displaystyle r = a \cdot \sqrt{1 + \frac{h^2}{4\cdot c^2}} \)

CylinderOblique cylinderTruncated cylinderCylindrical wedgeHollow cylinderHalf cylinderCylindrical sectorCylindrical segmentElliptical cylinderBicylinderTricylinderHyperboloid


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