Examine the diagram at right. Imagine spinning the rectangle around the $y$-axis. Think of a rectangular flap attached to the $y$-axis so that the rectangle will revolve around the $y$-axis.

1. Draw the resulting shape.

   Answer (a):

   After the rotation, the resulting shape is a cylinder.

2. Find the volume of this shape.

   Hint (b):

   Use the formula for volume of a cylinder, $V=\pi r^{2}h.$

   Use the eTool below to help you visualize this shape.
   Click the link at right for the full version of the eTool: CCA2 2-58 HW eTool