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smc

geometry senior

Problem

The number of circular pipes with an inside diameter of inch which will carry the same amount of water as a pipe with an inside diameter of inches is:
(A)
(B)
(C)
(D)
Solution
It must be assumed that the pipes have an equal height. We can represent the amount of water carried per unit time by cross sectional area. Cross sectional of Pipe with diameter , Cross sectional area of pipe with diameter So number of 1 in pipes required is the number obtained by dividing their cross sectional areas So the answer is .
Final answer
D