2002 Math OSP, Number 8

Calculus Level pending

A water drain is supposed to be made with a pipe with diameter of 10 cm. But only small pipes are available, those small pipes has a diameter of 3 cm. So that the capacity of the water drain isn't smaller than what is wanted, at least how many 3 cm pipes are needed to be used as the substitute of one 10cm pipe?


The answer is 12.

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