Paraboloid Calculation
Calculator and formulas for calculating a paraboloid
A paraboloid is a quadric surface that has exactly one axis of symmetry and no center of symmetry. Elliptical paraboloids can be found, for example, on the surfaces of satellite dishes and as energy depletion diagrams. For more information see Wikipedia.
To calculate the paraboloid, enter the shape parameter and the value a. Then click on the 'Calculate' button
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Paraboloid formulas
Height (\(\small{h}\))
\(\displaystyle h = s\cdot a^2\)
Lateral surface (\(\small{L}\))
\(\displaystyle L = \frac{π \cdot a }{ 6 \cdot h^2} \cdot (a^2 + 4\cdot h^2 )^{3/2} - a^3)\)
Surface area (\(\small{S}\))
\(\displaystyle S= L + π \cdot a^2\)
Volume (\(\small{V}\))
\(\displaystyle V= \frac{1}{2}\cdot π \cdot a^2 \cdot h\)
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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