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Volume of Non-Rotational Solid

Volume of Non-Rotational Solid
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2016-01-27 02:18
Solid GeometryCalculusGeometric Construction
In collections BC Calculus Calculus Concepts
This example demonstrates calculating the volume of a non-rotational solid using isosceles triangle cross-sections. Key mathematical concepts include solid geometry and integration. Using GeoGebra commands such as Point, Intersect, Circle, and Segment, a dynamic model of the isosceles triangle cross-section is constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Intersect(xAxis, yAxis) → B
  3. Circle(B, A) → c
  4. Point(c) → C
  5. Segment(C, D) → d
  6. Segment(G, D) → a
  7. Segment(G, C) → b
  8. Segment(C, (x(C), y(C), d)) → e
  9. Segment(D, I) → f
  10. Segment(I, F) → g