MathPlotAI Logo MathPlotAI

Cylinder and Cone Geometric Construction Demo

Cylinder and Cone Geometric Construction Demo
Loading the math board and drawing, please wait…
2017-06-19 01:00
CircleSolid GeometryGeometric ConstructionSlider Animation
This GeoGebra example demonstrates the geometric properties and spatial relationship between cylinders and cones. It covers core solid geometry concepts including volume, surface area, and cross-sections. Construction relies on Circle, Cone, and Cylinder commands, utilizing points A, B, C and parameters h, v for dynamic control. Ideal for high school geometry classes, math competitions, or self-study of 3D shapes.

GeoGebra Commands & Parameters

  1. Circle(zAxis, C) → e
  2. Cone(A, B, H / 2) → d, f, g
  3. Cone(C, B, (h - 0.001) / 2) → i, k, j
  4. Circle(yAxis, B) → c
  5. Circle(yAxis, E) → p
  6. Circle(yAxis, E) → s
  7. Circle(yAxis, B) → t
  8. Circle(B, E, xOyPlane) → c_1
  9. Cylinder(c_1, -3.1561349047319176) → b, b_2, b_3
  10. Cylinder(b_2, v / 3) → a, d_1, l
  11. Cylinder(b_2, (9 - v) / 9) → m, m_2, m_3
  12. Circle(D, I, xOyPlane) → q
  13. Circle(F, G, space) → r
  14. Circle(F, G, xOyPlane) → e_1