document.write( "Question 366105: a. the amount of water (A) emptied by a pipe varies directly as the square of the diameter (D). write the variation problem.
\n" ); document.write( "b. for a certain constant water flow, a pipe emptying into a canal will allow 200 gal of water to escape in an hour through a pipe with a diameter of 6 in. find the constant (k) of variation.
\n" ); document.write( "c. how much water would a pipe with a diameter of 12in empty into the canal in a an hour? \n" ); document.write( "

Algebra.Com's Answer #260945 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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a. the amount of water (A) emptied by a pipe varies directly as the square of the diameter (D).
\n" ); document.write( " write the variation problem.
\n" ); document.write( "A = k*D^2; where k is the constant of variation
\n" ); document.write( ":
\n" ); document.write( "b. for a certain constant water flow, a pipe emptying into a canal will allow
\n" ); document.write( " 200 gal of water to escape in an hour through a pipe with a diameter of 6 in.
\n" ); document.write( " find the constant (k) of variation.
\n" ); document.write( "6^2*k = 200
\n" ); document.write( "36k = 200
\n" ); document.write( "k = $\"200%2F36\"$
\n" ); document.write( "k ~ 5.56
\n" ); document.write( ":
\n" ); document.write( "c. how much water would a pipe with a diameter of 12in empty into the canal in a an hour?
\n" ); document.write( "A = 5.56*12^2
\n" ); document.write( "A = 5.56*144
\n" ); document.write( "A ~ 800 gal \n" ); document.write( "

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