A traditional lampshade is a truncated cone, or frustum. It is a cone that is missing the pointed end. The lampshade shown below has a large diameter of 18 inches, a small diameter of 10 inches, and a height of 10 inches. If it had the pointed end, it would be 22.5 inches tall. What is the exact volume of the lampshade?

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Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!