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When the semi-circular flag below is rotated, it has a volume of π un3Homework Help ✎

  1. Describe the resulting 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 is rotated 90º and the flag is then rotated about a horizontal pole, will 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?

Semicircle on the right side of a pole