document.write( "Question 1197274: A cylinder has a surface area of 72pi square centimeters and a height of 5 centimeters. The volume of the cylinder is equal to ______pi cubic centimeters. \n" ); document.write( "
Algebra.Com's Answer #830498 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "The general formula for the total surface area of a cylinder is: \r
\n" ); document.write( "\n" ); document.write( "\"TSA=+2pi%2Ar%5E2+%2B2+pi%2Ar%2Ah\"\r
\n" ); document.write( "\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( "\"TSA=72cm%5E2\"
\n" ); document.write( "\"+h=5cm\"\r
\n" ); document.write( "\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( "\"2pi%2Ar%5E2+%2B2pi%2Ar%2A5=72pi\"....divide by \"pi\"\r
\n" ); document.write( "\n" ); document.write( "\"2r%5E2+%2B10r=72\"\r
\n" ); document.write( "\n" ); document.write( "\"2r%5E2+%2B10r-72=0\"...divide by\"+2\"\r
\n" ); document.write( "\n" ); document.write( "\"r%5E2+%2B5r-36=0\"..........factor and find \"r\"\r
\n" ); document.write( "\n" ); document.write( "\"%28r+-+4%29+%28r+%2B+9%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "take only positive solution:\r
\n" ); document.write( "\n" ); document.write( "\"r=4cm\"\r
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\n" ); document.write( "\n" ); document.write( "A cylinder's volume is:\r
\n" ); document.write( "\n" ); document.write( "\"V=pi%2Ar%5E2%2Ah\"............substitute \"r\" and\"+h\"\r
\n" ); document.write( "\n" ); document.write( "\"V=pi%2A%284cm%29%5E2%2A5cm\"\r
\n" ); document.write( "\n" ); document.write( "\"V=pi%2A16cm%5E2%2A5cm\"\r
\n" ); document.write( "\n" ); document.write( "\"V=pi%2A80cm%5E3\"=> exact solution\r
\n" ); document.write( "\n" ); document.write( "\"V=251.33cm%5E3\"=> approximately\r
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\n" ); document.write( "\n" ); document.write( "answer: \r
\n" ); document.write( "\n" ); document.write( "The volume of the cylinder is equal to \"80pi\" cubic centimeters.\r
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