Clay balls

How many clay balls with a radius of 1 cm can be made from a ball of clay with a radius of 8 cm?

Correct result:

n =  512

Solution:

R=8 cm r=1 cm  V1=43⋅ π⋅ R3=43⋅ 3.1416⋅ 83≐2144.6606 cm3 V2=43⋅ π⋅ r3=43⋅ 3.1416⋅ 13≐4.1888 cm3  n=[V1/V2]=[2144.6606/4.1888]=512   Correctness test:  n1=R3/r3=83/13=512

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