Eight

Eight small Christmas balls with a radius of 1 cm have the same volume as one large Christmas ball. What has a bigger surface: eight small balls, or one big ball?

Correct result:

x =  8

Solution:

n=8 r=1 cm  V1=n 43 π r3=8 43 3.1416 1333.5103 cm3  V2=V1=33.510333.5103 cm3  V2=43 π r23  r2=3 V2/4/π3=3 33.5103/4/3.14163=2 cm  S1=n 4π r2=8 4 3.1416 12100.531 cm2 S2=4π r22=4 3.1416 2250.2655 cm2  S1>S2  x=8



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