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Cylinder Surface Area Calculation by c.redfearn

Cylinder Surface Area Calculation by c.redfearn
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2017-04-18 22:22
Solid GeometryGeometric ConstructionGraphing
This example demonstrates the calculation and visualization of the surface area of a cylinder. It involves core mathematical concepts such as the formula for the surface area of a cylinder, circumference, and area of a circle. GeoGebra commands used include Cylinder, Vector, Translate, and Polygon in its construction. Suitable for middle school students and above learning solid geometry and surface area calculations, or for mathematical teaching demonstrations.

GeoGebra Commands & Parameters

  1. Cylinder(A, B, 2) → a, c, d, b
  2. Vector(A, C) → u
  3. Translate(c, u) → c'
  4. Vector(A, D) → v
  5. Translate(c, v) → c'_1
  6. Polygon(E, F, G, H) → poly1, e, f, g, h

AI Drawing Prompt Reference

Draw a cylinder with a radius of 1 and a height of 2. Start by drawing two circles as the bases, then connect the centers of these circles with a vertical line. Next, move one of the circles along this line to form the cylinder's side. Finally, use a polygon to connect the four vertices of the side, creating a closed shape.
The prompt above was compiled from the original drawing commands and is for reference only.