This is a problem that my lecturer gave us in class and it has been bugging me ever since. I have been unsuccesful in finding or calculating a proper solution so I am hoping PF will be able to help...(adsbygoogle = window.adsbygoogle || []).push({});

This is the Q:

LetHbe the height of a conical glass which is filled to a heighth. Find the volume of the liquid in the glass as a proportion of the volume if the glass is full. Find the ratioh/Hfor which the glass is half full.

To answer this question you must construct a mathematical model defining all the variables.

This does not sound like a difficult question to solve but whenever I try to solve with simple conical volume equations I just get that the ratio is H:2h which is obviously not right. Any help would be greatly appreciated.

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# Problem solving Conical glass

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