The cylindrical container

The cylindrical container has a base area of 300 cm3 and a height of 10 cm. It is 90% filled with water. We gradually insert metal balls into the water, each with a volume of 20 cm3. After inserting how many balls for the first time does water flow over the edge of the container?

Correct result:

n =  16


S=300 cm2 h=10 cm  k=90%=90100=0.9 h1=k h=0.9 10=9 cm  V0=S h=300 10=3000 cm3 V=k V0=0.9 3000=2700 cm3 V1=20 cm3  V1=43πr3  r=3 V1/4/π3=3 20/4/3.141631.6839 cm D=2 r=2 1.68393.3678 cm D<h1 n1=(V0V)/V1=(30002700)/20=15  n=n1+1=15+1=16

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