document.write( "Question 1047388: The rate of flow of water through a pipe varies directly as the square of the of the radius of the pipe. By how much would the rate of flow be increased, if the diameter of the pipe were multiplied by 3/2? \n" ); document.write( "

Algebra.Com's Answer #662896 by josmiceli(19441) $\"\"$ $\"About$

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If the diameter is multiplied by $\"+3%2F2+\"$ ,
\n" ); document.write( "then so is the eradius
\n" ); document.write( "Let $\"+f%5B1%5D+\"$ = the rate of flow through the pipe
\n" ); document.write( "Let $\"+r+\"$ = radius of the pipe
\n" ); document.write( " $\"+f%5B1%5D+=+k%2Ar%5E2+\"$
\n" ); document.write( " $\"+k+=+f%5B1%5D%2Fr%5E2+\"$
\n" ); document.write( "------------------
\n" ); document.write( " $\"+f%5B2%5D+=+k%2A%28%28+3%2F2+%29%2Ar%29%5E2+\"$
\n" ); document.write( " $\"+f%5B2%5D+=+%28+f%281%29%2Fr%5E2+%29%2A%28+%283%2F2%29%2Ar+%29%5E2+\"$
\n" ); document.write( " $\"+f%5B2%5D+%2F+f%5B1%5D+=+%28+%283%2F2%29%2Ar+%29%5E2+%2F+r%5E2+\"$
\n" ); document.write( " $\"+f%5B2%5D+%2F+f%5B1%5D+=+%28+9%2F4+%29%2A%28+r%5E2%2Fr%5E2+%29+\"$
\n" ); document.write( " $\"+f%5B2%5D+%2F+f%5B1%5D+=+9%2F4+\"$
\n" ); document.write( "The rate of flow is increased by a factor of 9/4 \r
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