SOLUTION: An old water pipe is to be replaced by a new one so that twice as much water can flow through the pipe. What is the ratio of the radius of the new pipe to that of the old pipe?

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Question 1031233: An old water pipe is to be replaced by a new one so that twice as much water can flow through the pipe. What is the ratio of the radius of the new pipe to that of the old pipe?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
An old water pipe is to be replaced by a new one so that twice as much water can flow through the pipe.
What is the ratio of the radius of the new pipe to that of the old pipe?
:
To make twice as much water flow thru the pipe, the cross section area has to be doubled
:
Let R = the radius of the larger pipe
Let r = the radius of the smaller
:
%28pi%2AR%5E2%29%2F%28pi%2Ar%5E2%29 = 2%2F1
Cancel pi
%28R%5E2%29%2F%28r%5E2%29 = 2%2F1
R%2Fr = sqrt%282%2F1%29
R%2Fr = 1.414%2F1 is the ratio of radius the new pipe to the radius of the old pipe