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In this course, a “flag” is defined as a geometric region 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.

    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 .

  1. Calculate 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

Vertical segment, labeled pole, with rectangle, labeled flag, whose left edge, shares most of the upper part of the segment, left edge of rectangle, labeled 8, bottom edge labeled, 6.