document.write( "Question 346274: a cylindrical chemical storage tank must have a height 4 meters greater than the radius of the top of the tank. Determine the radius of the top and the height of the tank if the tank must have a volume of 15.71 cubic meters. \n" ); document.write( "
Algebra.Com's Answer #247672 by ankor@dixie-net.com(22740)\"\" \"About 
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a cylindrical chemical storage tank must have a height 4 meters greater than
\n" ); document.write( "the radius of the top of the tank.
\n" ); document.write( " Determine the radius of the top and the height of the tank if the tank must
\n" ); document.write( " have a volume of 15.71 cubic meters.
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\n" ); document.write( "Let r = the radius of the tank
\n" ); document.write( "It says,\"must have a height 4 meters greater than the radius.\" therefore
\n" ); document.write( "(r+4) = the height of the tank
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\n" ); document.write( "Volume of a cylinder: V = \"pi%2Ar%5E2%2Ah\"
\n" ); document.write( "Therefore
\n" ); document.write( "\"pi%2Ar%5E2%2A%28r%2B4%29\" = 15.71
\n" ); document.write( "divide both sides by pi, results
\n" ); document.write( "r^2(r+4) = \"15.71%2Fpi\"
\n" ); document.write( "r^3 + 4r^2 = 5
\n" ); document.write( "r^3 + 4r^2 - 5 = 0
\n" ); document.write( "just from looking at this you know that r=1, then the height = 5
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\n" ); document.write( "Check this
\n" ); document.write( " V = \"pi%2A1%5E2%2A%281%2B4%29\"
\n" ); document.write( " v = 15.707 ~15.71
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