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Not shaken, not stirred, but stable. (Posted on 2005-09-10) Difficulty: 3 of 5
A cylindrical glass has a mass of 100 grams. It is partially filled with water (density = 1 gram/cubic centimeter.)

The glass has an inside diameter of 8cm and an internal depth of 15cm. When empty the center of mass is 8cm from the top of the glass.

The glass is most stable when its center of gravity is as low as possible. How much water is then in the glass?

See The Solution Submitted by Jer    
Rating: 2.0000 (3 votes)

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Some Thoughts Some Thoughts | Comment 5 of 6 |

Neato! Glass is what, 2.5 grams per cu.cm.? It would require 40 cu.cm. of glass to form the cylinder which would have an inner surface area of 136pi and the thickness (assuming it was uniform) would only be about 0.9362 mm. and the center of gravity when empty would be 6.5cm. from the bottom.

Is this interesting? Did I figure correctly? What do you think? :)


  Posted by CeeAnne on 2005-10-09 21:15:35
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