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

  1. Draw the resulting shape.

    After the rotation, the resulting shape is a cylinder.

  2. Find the volume of this shape.

    Use the formula for volume of a cylinder, 

    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

Rectangle plotted on coordinate graph, corners at the points (3, comma 3), (3, comma negative 2), (0, comma negative 2), (0, comma 3).