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Volume of Solid of Revolution by Tedi Trikoni

Volume of Solid of Revolution by Tedi Trikoni
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2016-11-11 14:19
Solid GeometryCalculusIntegral
This example demonstrates the calculation of the volume of a solid of revolution. Key mathematical concepts include integration and solid geometry. Using GeoGebra commands such as Point, Integral, and CurveCartesian, the construction of the solid and its volume calculation can be achieved. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. Point(xAxis) → A
  3. Integral(f, c, d) → e
  4. Textfield(f) → InputBox1
  5. CurveCartesian(u, (g(u) * cos(t°)), (g(u) * sin(t°)), u, c, d) → b
  6. Surface(u, (g(u) * cos(v°)), (g(u) * sin(v°)), u, c, d, v, 0, t) → a
  7. Segment(A, (x(A), h)) → i
  8. Segment(B, (x(B), j)) → k