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8 x 6 Flag on a pole In this course, a “flag” is defined as a geometric region attached to a line segment (its “pole”). An example is shown at right. To help you visualize this, use the 1-3 HW eTool (Desmos). Homework Help ✎

  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 8 ft tall. Hold out your (6 ft) arm
perpendicular to your body and spin around 360°. Imagine the shape.

The shape is a cylinder with height of 8 and radius of 6.

  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