Volume with SemiCircular Cross-sections

Volume with SemiCircular Cross-sections
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2019-04-12 09:01
This example demonstrates the geometric model for calculating volume using semicircular cross-sections. It involves core mathematical concepts like volume calculation, integral calculus, and coordinate geometry. Construction highlights include commands like OrthogonalLine, Intersect, Circle, Segment, Midpoint, Point, and Plane from GeoGebra. Suitable for high school and above students learning solid geometry and calculus applications.

GeoGebra Commands & Parameters

  1. OrthogonalLine(A, xAxis) → f
  2. Intersect(f, xAxis) → B
  3. Circle(A, B, C) → poly1
  4. Segment(B, A) → g
  5. Midpoint(B, A) → E
  6. Point(yAxis) → F
  7. Plane(B, A, F) → a