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5-11.

A horizontal flag, composed of a quarter-circle and straight line segments, is shown below.

  1. Imagine rotating the flag about its horizontal pole and describe the resulting three-dimensional figure. Draw a picture of this figure on your paper.

    If the flag were rotated it would look like a mushroom.

  2. Find the volume of the rotated flag.

    Use geometry to find the volume of the resulting three-dimensional figure.