document.write( "Question 115828: C-2 Manufacturing The capacity in gallons of a cylindrical tank can be found using the formula
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document.write( "C=pieD^2L/924
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document.write( "where
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document.write( "C=capacity in gallons
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document.write( "D=diameter of tank in inches
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document.write( "L=length of tank in inches
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document.write( "(a) Find the diameter of a 42-in-long tank that has a capacity of 30 gallons.
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document.write( "(b) Find the diameter of a 60-in-long tank that has a capacity of 50 gallons. \n" );
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Algebra.Com's Answer #84279 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! 30=3.14d^2*42/924 \n" ); document.write( "30=131.88d^2/924 now cross multiply \n" ); document.write( "30*924=131.88d^2 \n" ); document.write( "27,720=131.88d^2 now divide both sides by 131.88 \n" ); document.write( "d^2=27,720/131.88 \n" ); document.write( "d^2=210.191 \n" ); document.write( "d=sqrt210.191 \n" ); document.write( "d=14.5 in. is the diameter. \n" ); document.write( "----------------------------------------- \n" ); document.write( "50=3.14d^2*60/924 \n" ); document.write( "50=188.4d^2/924 \n" ); document.write( "188.4d^2=50*924 \n" ); document.write( "188.4d^2=46,200 \n" ); document.write( "d^2=46,200/188.4 \n" ); document.write( "d^2=245.22 \n" ); document.write( "d=sqrt245.22 \n" ); document.write( "d=15.66 in. is the diameter. \n" ); document.write( " |