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5 ημέρες πριν · The parametric equations for an elliptic cone of height h, semimajor axis a, and semiminor axis b are x = a(h-u)/hcosv (1) y = b(h-u)/hsinv (2) z = u, (3) where v in [0,2pi) and u in [0,h]. The elliptic cone is a quadratic ruled surface, and has volume V=1/3piabh.
- Elliptical Cone -- from Wolfram MathWorld
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- Elliptical Cone -- from Wolfram MathWorld
3 Αυγ 2023 · An elliptic cone is a quadratic ruled surface, and has volume calculated as: Volume $ {\left ( V\right) =\dfrac {1} {3}\pi abh}$, here a = major axis between x = 0 and x = a, b = minor axis between y = 0 and y = b, h = height between z = 0 and z = h, π = 3.141.
This function calculates various properties of an elliptic cone. To perform the calculation, enter the two radii and the height of the elliptic cone. Then click on the 'Calculate' button.
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Elliptic cone. Other name: degree-two cone (implying: non-decomposed). Reduced equation: (with , cone of revolution if and only if a = b). Sections by the plane z = k are ellipses with half-axes ak/h and bk/h. Developable ruled quadric. Cartesian parametrization: .
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We can calculate the volume of an elliptical sphere with a simple and elegant ellipsoid equation: Volume = 4/3 × π × A × B × C. where: A, B, and C are the lengths of all three semi-axes of the ellipsoid.
