SOLUTION: hundred meter spheres of radius 32cm each melted and this melted solution is filled in cube with base 14m by 21m. find the height of cube filled with solution

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Question 793747: hundred meter spheres of radius 32cm each melted and this melted solution is filled in cube with base 14m by 21m. find the height of cube filled with solution
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Volume of cuboid /volume of sphere = number of spheres
%28L%2AW%2AH%29%2F%28%284%2F3%29%2Api%2Ar%5E3%29+=+100

%2821%2A14%2AH%29%2F%28%284%2F3%29%2A%2822%2F7%29%2A%280.32%5E3%29%29=100

%2821%2A14%2AH%29%2F%280.137%29+=100

H= 100*0.137/(21*14)
=0.0466 m
46.6 cm