document.write( "Question 203930: Could you help me to solve and understand this one?
\n" ); document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #153860 by josmiceli(19441) $\"\"$ $\"About$

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)
\n" ); document.write( "which equals
\n" ); document.write( "(1 m3/4 min)(10^6 cm3/m3)(1 min/60 sec)
\n" ); document.write( "note that min cancel and m3 cancel, so for units,
\n" ); document.write( "I'm left with (cm3/sec)
\n" ); document.write( "Doing the math:
\n" ); document.write( " $\"%281%2F4%29%2A10%5E6+%2A%281%2F60%29+=+10%5E6%2F240\"$
\n" ); document.write( " $\"10%5E6%2F240+=+4166.667\"$
\n" ); document.write( "Now the question to ask is: what length of pipe in cm of
\n" ); document.write( "radius 1.5 cm passes this volume of water in 1 sec?
\n" ); document.write( "The cross-sectional area of the pipe is:
\n" ); document.write( " $\"pi%2A1.5%5E2+=+7.0686\"$
\n" ); document.write( "Let $\"l\"$ = length of pipe needed
\n" ); document.write( " $\"7.0686%2Al+=+4166.667\"$
\n" ); document.write( " $\"l+=+589.461\"$
\n" ); document.write( "The speed of the water through the pipe is 589.461 cm/s
\n" ); document.write( "(unless I goofed)
\n" ); document.write( " \n" ); document.write( "

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