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PUZZLET 011

 A Cylinder and a Sphere
A close-tolerance project in the aerospace industry specifies the manufacture of a 100-metre high cyclinder and a sphere, both having exactly the same radius.  The overall volume of material used must be within 0.001 cubic metres of 100 cubic metres.  What is the radius to 6 decimal places of accuracy?



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Last Updated: January 7th, 2010.