document.write( "Question 1105150: A graduated cylinder, pictured, is used to measure solutions in a laboratory. It is open at the top and closed at the bottom. \r
\n" ); document.write( "\n" ); document.write( "If a graduated cylinder has a height (h) that is 4 cm more than its radius (r) and a surface area of 16p cm2, use the equations below to calculate the diameter of the graduated cylinder. Give exact answer in fraction form.\r
\n" ); document.write( "\n" ); document.write( " Area of the side of a cylinder = 2πrh
\n" ); document.write( " Area of the top or bottom of a cylinder = πr2
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Algebra.Com's Answer #719890 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
You probably mean, surface area is \"16pi\" square centimeters.\r
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\n" ); document.write( "\n" ); document.write( "\"h=r%2B4\"
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\n" ); document.write( "Total Area, \"2pi%2Arh%2Bpi%2Ar%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "The question asks for solving for \"2r\".\r
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\n" ); document.write( "\n" ); document.write( "\"2pi%2Arh%2Bpi%2Ar%5E2=16pi\"
\n" ); document.write( "\"2pi%2Ar%28r%2B4%29%2Bpi%2Ar%5E2=16pi\"
\n" ); document.write( "Divide both members by \"2pi\";
\n" ); document.write( "\"r%28r%2B4%29%2B%281%2F2%29r%5E2=8\"\r
\n" ); document.write( "\n" ); document.write( "\"r%5E2%2B4r%2B%281%2F2%29r%5E2=8\"\r
\n" ); document.write( "\n" ); document.write( "\"%283%2F2%29r%5E2%2B4r-8=0\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight_green%283r%5E2%2B8r-16=0%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"r=%28-8%2Bsqrt%2864%2B4%2A3%2A16%29%29%2F6\"\r
\n" ); document.write( "\n" ); document.write( "\"r=%28-8%2Bsqrt%28256%29%29%2F6\"\r
\n" ); document.write( "\n" ); document.write( "\"r=%2816-8%29%2F6\", \"r=4%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "Diameter, \"2r=8%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%282r=2%262%2F3%29\", in centimeters.
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