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When the flag below is rotated it has a volume of un3.

  1. Describe the resultant three-dimensional figure.

    Use the eTool below to visualize the rotating flag.
    Click the link at right for the full version of the eTool: Calc 1-60 HW eTool

  2. What is the value of ?

  3. If the diagram was rotated and the flag was then rotated about a horizontal pole, would the volume change?

    Build a model by taping a paper flag to a pencil. Try holding the pencil in different positions. Does the size or shape of the resultant solid change when the pencil is held horizontally vs. vertically?