SOLUTION: Could you help me to solve and understand this one? Water is flowing through a cylindrical pipe of radius 1,5 cm at the rate of 1 m^3 every 4 min. At what speed is the water movin

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Could you help me to solve and understand this one? Water is flowing through a cylindrical pipe of radius 1,5 cm at the rate of 1 m^3 every 4 min. At what speed is the water movin      Log On

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Question 203930: Could you help me to solve and understand this one?
Water is flowing through a cylindrical pipe of radius 1,5 cm at the rate of 1 m^3 every 4 min. At what speed is the water moving in the pipe in cm/s?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1 m3/4 min)(100 cm x 100 cm x 100 cm/m3)(1 min/60 sec)
which equals
(1 m3/4 min)(10^6 cm3/m3)(1 min/60 sec)
note that min cancel and m3 cancel, so for units,
I'm left with (cm3/sec)
Doing the math:
%281%2F4%29%2A10%5E6+%2A%281%2F60%29+=+10%5E6%2F240
10%5E6%2F240+=+4166.667
Now the question to ask is: what length of pipe in cm of
radius 1.5 cm passes this volume of water in 1 sec?
The cross-sectional area of the pipe is:
pi%2A1.5%5E2+=+7.0686
Let l= length of pipe needed
7.0686%2Al+=+4166.667
l+=+589.461
The speed of the water through the pipe is 589.461 cm/s
(unless I goofed)