document.write( "Question 296421: I am completely confused on how to solve this problem i recieved on a take home test: The sum of the height and radius of a cylinder is 9m. The surface area of the cylinder is 54pie square meters. Write and solve an algebraic equation to find the height and the radius.
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Algebra.Com's Answer #213582 by Alan3354(69443)\"\" \"About 
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I am completely confused on how to solve this problem i recieved on a take home test: The sum of the height and radius of a cylinder is 9m. The surface area of the cylinder is 54pie square meters. Write and solve an algebraic equation to find the height and the radius.
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\n" ); document.write( "Assuming this includes the top and bottom:
\n" ); document.write( "\"Area+=+2%28pi%2Ar%5E2%29+%2B+2pi%2Ar%2Ah\"
\n" ); document.write( "h = 9 - r
\n" ); document.write( "\"Area+=+2%28pi%2Ar%5E2%29+%2B+2pi%2Ar%2A%289-r%29\"
\n" ); document.write( "\"54pi+=+2%28pi%2Ar%5E2%29+%2B+2pi%2Ar%2A%289-r%29\"
\n" ); document.write( "\"27+=+r%5E2%29+%2B+r%2A%289-r%29\"
\n" ); document.write( "27 = 9r
\n" ); document.write( "r = 3
\n" ); document.write( "h = 6
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\n" ); document.write( "PS It's the Greek letter pi, not the dessert, pie
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