MathPlotAI Logo MathPlotAI

Volume of a Cone by KruPongsak Wuttisant _TH

Volume of a Cone by KruPongsak Wuttisant _TH
Loading the math board and drawing, please wait…
2019-03-21 14:15
Solid GeometryGeometric ConstructionGraphing
This example demonstrates the calculation and visualization of a cone's volume. Key math concepts include the cone volume formula, geometric body construction, and spatial relationships in 3D. GeoGebra commands and objects used in the construction are Intersect, Point, Cylinder, Segment, Cone, Line, Plane, and Circle. Suitable for high school geometry teaching and student exploration of volume calculations.

GeoGebra Commands & Parameters

  1. Intersect(zAxis, xOyPlane) → A
  2. Point(zAxis) → B
  3. Cylinder(A, B, 3) → a, c, d, b
  4. Point(zAxis) → C
  5. Segment(C, D) → f
  6. Point(f) → E
  7. Cone(G, F, 3) → e, g, h
  8. If(i ≤ 0, 0, i / 2) → j
  9. Cylinder(A, H, 3) → k, p, q, l
  10. PointIn(h) → I
  11. Line(I, f) → m
  12. Point(m) → J
  13. Segment(I, J) → n
  14. Plane(K, A, L) → o
  15. Circle(M, 3, zAxis) → r
  16. Circle(N, 3, zAxis) → s
  17. Segment(B, O) → t
  18. Segment(O, P) → f_1