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We will define a "flag" as a geometric area attached to a line segment (its "pole"). An example is shown at right.

  1. Imagine rotating the flag about its pole and describe the resulting three-dimensional figure. Draw a picture of this figure on your paper. To help you visualize this, use the .

    Pretend you are the pole that is ft tall. Hold out your ( ft) arm
    perpendicular to your body and spin around . Imagine the shape.

    The shape is a cylinder with height of and radius of .

  2. Find the volume of the rotated flag.

Use the eTool below to visualize the flag.
Click the link at right for the full version of the eTool: Calc 1-3 HW eTool