Warm Up: Creating Surfaces of Revolution (2)

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You can either download the .ggb file alone or the complete webpage for students with tasks.

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• Offline Activity (.zip)

• GeoGebra Files

  1. Move points A and B (on the right) and move the slider(s) on the left to create a cylinder whose height is equal to its radius. (.ggb)
     
  2. Move points A and B (on the right) and move the slider(s) on the left to create a cylinder whose height is double its radius. (.ggb)
     
  3. Move points A and B (on the right) and move the slider(s) on the left to create a cone whose radius is triple its height. (.ggb)
     
  4. Move points A and B (on the right) and move the slider(s) on the left to create the same cone you did above. Yet this time, flip this cone upside down. (.ggb)
     
  5. Interact with the points and sliders to create a pet-food bowl whose bottom radius = 4 units, top radius = 3 units, and height = 2 units. (.ggb)
     
  6. Interact with the points and sliders to create a flat, circular disc whose radius is 3 units and is"floating in midair" 2 units above the grid. (.ggb)
     
  7. Interact with the points and sliders to create two cones so that the apex (sharp point) of each one is located at (0,0,0). (.ggb)