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    A bottle with a cylindrrical shape at the bottom and with an irregular shape at the top is filled halfway to the top with liquid. The cylindrical part contains approximately three fourths of the capacity of the bottle and we wish to determine the exact percentage of liquid that the bottle contains. We can not open it and we can only use a ruler. What must we do?

    Question #24137. Asked by Matt. (Nov 10 02 5:25 AM)


    Gnomon

    		Measure the depth of the liquid with the ruler. Call this a. Turn the bottle upside down and measure the distance from the top of the liquid to the base of the bottle (which is now at the top). Call this b. The 'percentage full' is give by a divided by (a plus b) multiplied by 100.

    Nov 12 02, 11:36 AM

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