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Volume of a Cone by Gireesh K S

Volume of a Cone by Gireesh K S
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2018-11-03 23:57
Coordinate GeometrySolid GeometryParametric EquationGeometric Construction
This example demonstrates how to construct a cone and calculate its volume using GeoGebra. Core math concepts include the cone volume formula, coordinate geometry, and parametric equations. Construction highlights the use of commands like Point, Intersect, and Cone. Suitable for high school students learning solid geometry and volume calculations, or for mathematical demonstrations.

GeoGebra Commands & Parameters

  1. Point(zAxis) → A
  2. Intersect(zAxis, yAxis) → B
  3. Cone(A, B, 2) → a, c, b
  4. Cone(C, B, h / 2.5) → f, d, e

AI Drawing Prompt Reference

In a 3D coordinate system the z‑axis and y‑axis intersect at the origin. A point A on the z‑axis serves as the apex of a cone whose base is centered at the origin with radius 2. Another point C on the z‑axis forms a second cone sharing the same base center at the origin, with radius h/2.5. The two cones share the base center, illustrating cone volume construction.
The prompt above was compiled from the original drawing commands and is for reference only.