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When the semi-circular flag below is rotated, it has a volume of π un3. Homework Help ✎

Semicircle on the right side of a pole

  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 d?

  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?