document.write( "Question 641062: The time required to fill a tank varies inversely as the square of the diameter of the pipe used. If it takes 20 hours to fill a given tank with a 2-in. pipe, find the diameter of the pipe needed to fill the same tank in 5 hours. \n" ); document.write( "
Algebra.Com's Answer #403530 by ptaylor(2198) You can put this solution on YOUR website! Inverse variation means that t=k/d^2 where k is the constant of proportionality \n" ); document.write( "Sooo \n" ); document.write( "20 hrs=k/2^2 or \n" ); document.write( "k=80\r \n" ); document.write( "\n" ); document.write( "Now \n" ); document.write( "5hrs=80/d^2 \n" ); document.write( "5d^2=80 \n" ); document.write( "d^2=16 \n" ); document.write( "d=sqrt16=4 in\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "5hrs=80/4^2 \n" ); document.write( "5hrs=80/16 \n" ); document.write( "5hrs=5hrs\r \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " |