A flag is shown below.

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

   Answer (a):

   2 hemispheres with a cylinder between them.

2. Calculate the volume of the rotated flag.

   Hint (b):

   $V=\frac{4}{3}\pi r^{3}_{\text{big}}+\pi r^{2}_{\text{small}}h$