Sphere cube filling

Nine identical spheres are stacked in the cube to fill the cube's volume as much as possible. What part of the volume will the cube fill?

Final Answer:

p =  47.1064 %

Step-by-step explanation:

a=100  s2 = a2+a2+a2  s=3 a=3 100=100 3173.2051  s = 3r + r+2r+r + 3r  r=2 3+4s=2 3+4173.205123.2051  V1=a3=1003=1000000  V9=9 34 π r3=9 34 3.1416 23.20513471064.4943  p=100 V1V9=100 1000000471064.4943=47.1064%



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You need to know the following knowledge to solve this word math problem:

arithmeticsolid geometryplanimetricsbasic operations and conceptsUnits of physical quantitiesGrade of the word problem

 
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