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A flag is shown below. The curved portion is a quarter-circle.

Above a horizontal segment, right triangle & top right quarter circle, connected, with radii & horizontal leg aligned in center of segment, & vertical leg & radius of same length, distance across horizontal leg & horizontal radius labeled 8, vertical leg labeled 3, horizontal leg labeled 5.

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

    The flag would form a hemisphere on top of a cone, is it was rotated.

  2. Find the volume of the rotated flag.