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Volume of a Cylinder

Volume of a Cylinder
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2017-08-10 04:28
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates how to calculate the volume of a cylinder using geometric construction. Key mathematical concepts include cylinder, volume, and coordinate geometry. Commands used include Intersect, Vector, Translate, Segment, Arc, Polygon, etc. Suitable for middle school and above students to learn solid geometry and volume calculation.

GeoGebra Commands & Parameters

  1. Intersect(c, xAxis, 1) → A
  2. Intersect(c, xAxis, 2) → B
  3. Vector((-17, 0), (-17, b)) → u
  4. Translate(c, u) → d
  5. Translate(A, u) → C
  6. Translate(B, u) → D
  7. Segment(A, C) → e
  8. Segment(B, D) → f
  9. Arc(c, A, B) → g
  10. Polygon(C, D, B, A) → P, c_1, d_1, b_1, a_1
  11. Intersect(xAxis, yAxis) → E
  12. Segment(E, B) → h
  13. Translate(E, u) → E'
  14. Translate(B, u) → B'
  15. Segment(E', B') → i
  16. Root(32) → F
  17. Midpoint(i) → G
  18. Midpoint(e) → H