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Exploring Volume of Cones and Cylinders

Exploring Volume of Cones and Cylinders
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2017-02-20 15:45
Solid GeometryGeometric Construction
This example demonstrates the calculation and comparison of volumes for cones and cylinders. Key math concepts include volume formulas, geometric properties, similar triangles, and circle area. It uses commands like Cylinder, Cone, Point, Segment, and Textfield to construct the shapes, with sliders to adjust radius and display volumes V1, V2, V3. Suitable for middle school and above to understand volume calculations and geometric relationships.

GeoGebra Commands & Parameters

  1. Cylinder(B, A, r) → Cylinder, c_2, d, b
  2. Cylinder(A, C, r) → Honey, f, g, i
  3. Cone(D, E, r) → Cone1, k, l
  4. Cone(D, F1, r) → Syrup, p, n
  5. Cone(H, G, r) → Cone2, q, o
  6. Cone(H, I, r) → Water_1, t, u
  7. Cylinder(C, F2, r) → Water, c_1, d_1, w
  8. Cone(N, M, r) → Cone3, e_1, b_1
  9. Cone(N, O, r) → Oil_1, f_1, j
  10. Cylinder(F2, F3, r) → Oil, s, g_1, m
  11. Point(k) → J
  12. Segment(D, J) → a
  13. Point(q) → K
  14. Segment(H, K) → c
  15. Point(e_1) → L
  16. Segment(N, L) → e
  17. Point(d) → F
  18. Segment(A, F) → h
  19. Segment(B, A) → h_1
  20. Segment(E, D) → i_1
  21. Segment(G, H) → j_1
  22. Segment(M, N) → k_1
  23. Textfield(v1) → InputBox1
  24. Textfield(v2) → InputBox2
  25. Textfield(v3) → InputBox3
  26. Textfield(v4) → InputBox4