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Inscribed Cylinder in a Cone

Inscribed Cylinder in a Cone
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2016-04-25 05:17
FunctionSolid GeometryGeometric Construction
This example demonstrates the geometric construction and properties of a cylinder inscribed in a cone. It involves core mathematical concepts such as solid geometry, volume calculation, and similar triangles. GeoGebra commands and objects used include Vector, Cone, Segment, Point, Distance, Cylinder, and Function. Suitable for high school geometry instruction and exploration of geometric constructions.

GeoGebra Commands & Parameters

  1. Vector((cos(x(O)), ((-sin(x(O))) * sin(y(O))))) → i
  2. Vector(((-sin(x(O))), ((-cos(x(O))) * sin(y(O))))) → j
  3. Vector((0, cos(y(O)))) → k
  4. Kúp(O, K, R_{cone}, H_{cone}) → A, lista1, c, a1, a2
  5. Segment(K, B) → b
  6. Point(b) → C
  7. Distance(K, B) → d
  8. Distance(K, C) → e
  9. Segment(K, C) → f
  10. Henger(O, K, r, m) → D, lista2, g, h, l, n
  11. Function(V, 0, R_{cone}) → V1
  12. Segment(P, P1) → p
  13. Segment(P, P2) → q