Thousand balls

We have to create a thousand balls from a sphere with a diameter of 1 m. What will be their radius?

Correct result:

r =  5 cm

Solution:

D=1 m→ cm=1⋅ 100  cm=100 cm R=D/2=100/2=50 cm n=1000  V1=43⋅ π⋅ R3=43⋅ 3.1416⋅ 503≐523598.7756 cm3 V2=V1/n=523598.7756/1000≐523.5988 cm3 V2=43⋅ π⋅ r3 cm3  r=V2⋅ 34π3=523.5988⋅ 34⋅ 3.14163=5=5 cm   Verifying Solution:   r2=R/n1/3=50/10003=5 cm r2=r

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