We will define a "flag" as a geometric area 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. To help you visualize this, use the .

   Hint (a):

   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.

   Answer (a):

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

2. Find the volume of the rotated flag.

   Hint (b):

   $\text{volume of cyclinder = }\pi r^2h$