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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.
5 ημέρες πριν · Elliptic Cone. Download Wolfram Notebook. A cone with elliptical cross section. The parametric equations for an elliptic cone of height , semimajor axis , and semiminor axis are. (1) (2) (3) where and . The elliptic cone is a quadratic ruled surface, and has volume. (4) The coefficients of the first fundamental form. (5) (6) (7)
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3 Αυγ 2023 · Calculate the lateral and total surface area of an elliptic cone having height 5 units, semi-major axis 3 units, and semi-minor axis 2 units. Round your answers to the nearest decimal places.
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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: .