Cannonballs

Of the three cannonballs with a diameter of 16 cm, which landed in the castle courtyard during the battle, the castle blacksmith cast balls with a diameter of 10 cm, which fit into the cannons placed on the walls. How many cannonballs did the blacksmith cast?

Correct result:

n2 =  12

Solution:

n1=3 D1=16 cm D2=10 cm  r1=D1/2=16/2=8 cm r2=D2/2=10/2=5 cm  V1=n1 43 π r13=3 43 3.1416 836433.9818 cm3  V2=43 π r23=43 3.1416 53523.5988 cm3  V1=n2 V2  n2=V1/V2=6433.9818/523.5988=12



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