Cylinder Error Analysis

Cylinder Error Analysis
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2016-01-23 07:06
This example demonstrates how to explore partial derivatives and error analysis in 3D using a cylinder in GeoGebra. Key math concepts include cylinder surface area and volume calculations, derivatives, standard deviation, isosceles triangles, symmetry, median value, and trigonometry. Constructed using commands like Cylinder and objects such as r (radius), h (height), δr (radius error), δh (height error), A (surface area), B (volume), and various text elements. Suitable for high school and above, focusing on calculus and error analysis in solid geometry.

GeoGebra Commands & Parameters

  1. Cylinder(A, B, r) → a, c, d, b
  2. Cylinder(A, B, r + δr) → e, f, g, i
  3. Cylinder(B, C, r) → j, k, p, l