Identical 35961

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

Correct 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 10000008740982611=47.1064%

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