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Volume of a Cylinder by Wendy Johnson

Volume of a Cylinder by Wendy Johnson
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2015-07-09 03:10
Solid GeometryGeometric Construction
This example demonstrates the calculation of the volume of a cylinder, involving concepts like volume formula, multiplication, and geometric construction. The construction uses GeoGebra commands such as Intersect, Translate, and Root. Suitable for middle school students or math teaching demonstrations.

GeoGebra Commands & Parameters

  1. Intersect(c, xAxis, 1) → A
  2. Vector((-17, 0), ((-1 * 17), h)) → u
  3. Translate(A, u) → A'
  4. Intersect(c, xAxis, 2) → B
  5. Translate(B, u) → B'
  6. Translate(B, u) → B'_1
  7. Intersect(xAxis, yAxis) → C
  8. Translate(C, u) → C'
  9. Root(32) → D
  10. Midpoint(A', B') → E
  11. Polygon(A', B', B, A) → poly1, a', b', b_1, a_1
  12. Segment(C', B') → r

AI Drawing Prompt Reference

Draw a diagram of the volume of a cylinder. Construct a cylinder using points A and B as endpoints of the base circles, then translate them to form the side. Point C is the intersection of the axes to determine height. Point D is the root of 32 for the radius. Connect A' and B' to form the base circle, and connect C' and B' to form the side line segment. Ensure the diagram clearly shows the geometric structure of the cylinder.
The prompt above was compiled from the original drawing commands and is for reference only.