Brandy B.

asked • 08/14/18

the number of houses that can be served by a water main

the number of houses that can be served by a water main. a given subdivision of 50 houses is sufficiently supplied by a 10 cm diameter main. what diameer main would be needed to supply a housing development of 1500 houses?

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Lauren H. answered • 08/14/18

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Ratio problem:
 
50 house/10cm main = 1500 houses/ x cm main
 
Solve for x
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David C.

The amount of water passing through a pipe does not increase linearly with diameter. You have to calculate the cross-sectional area of the pipe, which is 25pi, and multiply that by 30 to get 750pi. So the new pipe should have a radius of about 27.3cm in order to give a pipe with 30 times more flow. 
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08/28/18

Lauren H.

Thanks  for this explanation Mark.
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08/29/18

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