document.write( "Question 1036916: Find the dimensions of a cylindrical container with a volume of 40 cubic inches and a side area of 60 square inches \n" ); document.write( "
Algebra.Com's Answer #651638 by ankor@dixie-net.com(22740)\"\" \"About 
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Find the dimensions of a cylindrical container with a volume of 40 cubic inches and a side area of 60 square inches
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\n" ); document.write( "let r = the radius of the container
\n" ); document.write( "let h = the height
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\n" ); document.write( "Volume: \"pi%2Ar%5E2%2Ah\" = 40 cu/in
\n" ); document.write( "h = \"40%2F%28pi%2Ar%5E2%29\"
\n" ); document.write( ":
\n" ); document.write( "Side area: \"2%2Api%2Ar%2Ah\" = 60 cu/in
\n" ); document.write( "divide both sides by 2
\n" ); document.write( "\"pi%2Ar%2Ah\" = 30
\n" ); document.write( "h = \"30%2F%28pi%2Ar%29\"
\n" ); document.write( ":
\n" ); document.write( "h=h, therefore
\n" ); document.write( "\"40%2F%28pi%2Ar%5E2%29\" = \"30%2F%28pi%2Ar%29\"
\n" ); document.write( "multiply both sides by pi*r
\n" ); document.write( "\"40%2Fr\" = 30
\n" ); document.write( "30r = 40
\n" ); document.write( "r = 40/30
\n" ); document.write( "r = 1\"1%2F3\" inches is radius
\n" ); document.write( "Find h
\n" ); document.write( "h = \"30%2F%28pi%2A1.333%29\"
\n" ); document.write( "h = 7.164 inches is the height
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\n" ); document.write( "Confirm these values in the Vol formula
\n" ); document.write( "V = \"pi%2A1.333%5E2%2A7.164\"
\n" ); document.write( "V = 40
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