Calculating the Surface Area of a Cylinder

Calculating the Surface Area of a Cylinder
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2015-11-23 02:01
This example demonstrates how to calculate the surface area of a cylinder. The core mathematical concepts involved include the area of a circle, the circumference of a circle, and solid geometry. Construction highlights: using GeoGebra commands/objects like Circle (draw circle), Point (point), Segment (segment), Polygon (polygon), Intersect (intersection), Rotate (rotation); objects include a, A, c, r, D, C, F, pic1, pic2, G, b, E, poly1, d, c_1, f, e, B, H, g, I, I', text1, text2, h, text3. Suitable for middle school and above students learning solid geometry and surface area calculation.

GeoGebra Commands & Parameters

  1. Circle(A, 1) → c
  2. Point(c) → G
  3. Segment(A, G) → b
  4. Polygon(D, C, F, E) → poly1, d, c_1, f, e
  5. Point(yAxis) → B
  6. Intersect(f, yAxis) → H
  7. Circle(B, H) → g
  8. Intersect(c, xAxis) → I,
  9. Rotate(I, (-r), A) → I'