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  1. 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.

  2. 3 Αυγ 2023 · Find the volume of an elliptic cone with a major axis of 6 units, a minor axis of 4 units, and a height of 8 units.

  3. 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.

  4. 24 Οκτ 2024 · About MathWorld; MathWorld Classroom; Contribute; MathWorld Book; wolfram.com; 13,206 Entries; Last Updated: Thu Oct 24 2024 ©1999–2024 Wolfram Research, Inc.

  5. www.omnicalculator.com › math › ellipsoid-volumeEllipsoid Volume Calculator

    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.

  6. www.omnicalculator.com › math › cone-volumeCone Volume Calculator

    26 Ιουλ 2024 · To calculate the volume of a cone, follow these instructions: Find the cone's base area a. If unknown, determine the cone's base radius r. Find the cone's height h. Apply the cone volume formula: volume = (1/3) × a × h if you know the base area, or volume = (1/3) × π × r² × h otherwise.

  7. Elliptic cone with its curvature lines, i.e. its straight lines and their orthogonal trajectories. An elliptical cone is a cone a directrix of which is an ellipse; it is defined up to isometry by its two angles at the vertex. Characterization: cone of degree two not decomposed into two planes.

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