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 =  10 cm

Solution:

R=1 m→ cm=1⋅ 100  cm=100 cm n=1000  V1=43⋅ π⋅ R3=43⋅ 3.1416⋅ 1003≐4188790.2048 cm3 V2=V1/n=4188790.2048/1000≐4188.7902 cm3 V2=43⋅ π⋅ r3  r=V2⋅ 34π3=4188.7902⋅ 34⋅ 3.14163=10=10 cm   Verifying Solution:   r2=R/n1/3=100/10003=10 cm r2=r

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