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Volume of Revolution - Washer Method

Volume of Revolution - Washer Method
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2016-11-11 05:09
CalculusIntegralGeometric Construction
In collections Volume Apps
This example demonstrates the Washer Method for calculating the volume of a solid of revolution. Key mathematical concepts include integration and the volume of a solid of revolution. Using GeoGebra commands such as Invert, Line, Rotate, and IntegralBetween, the solid can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Invert(g1) → i1
  2. Invert(g2) → i2
  3. Line(A, B) → L
  4. Rotate(f1, θ, L) → p1
  5. Line(C, D) → M
  6. Rotate(f1, θ, M) → q1
  7. Textfield(c) → inputBox1
  8. Textfield(d) → inputBox2
  9. Textfield(g1) → inputBox3
  10. Textfield(b) → inputBox5
  11. Textfield(a) → inputBox6
  12. Rotate(f2, θ, L) → p2
  13. Rotate(f2, θ, M) → q2
  14. Textfield(g2) → inputBox4
  15. IntegralBetween(f1, f2, a, b) → region
  16. Surface(u, (f1(u) * cos(w)), (f1(u) * sin(w)), u, a, b, w, 0, θ) → e
  17. Surface(u, (f2(u) * cos(w)), (f2(u) * sin(w)), u, a, b, w, 0, θ) → f