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.

   Hint 1(a):

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

2. Find the volume of the rotated flag.

   Hint 2(b):

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