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3D Visualization of Disk Method for Volume

3D Visualization of Disk Method for Volume
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2016-03-10 06:44
FunctionCalculusIntegral
In collections CCSS G-GMD Geometric Measurement and Dimension Calculus C07_Apps Of Integration
This example demonstrates the volume of a function rotated around the x-axis using the disk method. Key mathematical concepts include integral calculus. GeoGebra commands used include RectangleSum, Circle, Area, PointIn, Text, Segment, Surface. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. RectangleSum(f, lftx, rtx, NumRectan, RiemLocLMR) → RiemannSum
  2. Circle(A, y(B)) → d
  3. Circle(C, y(B)) → e
  4. RectangleSum(g, lftx, rtx, NumRectan, RiemLocLMR) → RiemannBelowAxis
  5. Area(d) → Circle
  6. PointIn(d) → Pointd
  7. Text(vol) → text2
  8. Circle(xAxis, B) → c
  9. Segment(B, E) → b
  10. Surface(f, α) → j