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Question

A bottled-water company has designed a new cup for its dispenser. The cup will be a right circular cone with a three-inch radius. How tall will the cup need to be to hold 30 cubic inches of water?

Accepted Answer

The volume of a cone with radius r and height h is 13 r^2 h. Therefore, we want h to satisfy 13 3^2 h = 30 , so h = 10.