Calculations in a one-sheeted hyperboloid of revolution, or circular hyperboloid. This is the solid of revolution of a hyperbola, it looks like a twisted cylinder. The one-sheeted circular hyperboloid is defined by the equation x²/a² + y²/a² - z²/c² = 1, where x, y and z are the coordinate axes. The larger c is, the more the shape resembles a cylinder. Enter three values at base radius, skirt radius, height and shape parameter and choose the number of decimal places. Then click Calculate.
r = a * √ 1 + h² / (4c²)
c = √ h² / [4 * ( r²/a² - 1 ) ]
V = 1/3 π h * (2a²+r²)
π = 3.141592653589793...
Radiuses, height and shape parameter have the same unit (e.g. meter), the volume has this unit to the power of three (e.g. cubic meter).