document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=752527>Question 752527</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An oil company distributes oil in a metal can shaped like a cylinder that has an actual radius of 5.1 cm and a height of 15.1 cm. A worker incorrectly measured the radius as 5 cm and the height of 15 cm. Determine the relative error in calculating the surface area, to the nearest thousandth. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #457927 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=457927\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> surface area equals two times the area of the base plus the lateral area.\r<BR>\n" );
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document.write( "area of the base = pi * r^2\r<BR>\n" );
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document.write( "lateral area = 2 * pi * r * h\r<BR>\n" );
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document.write( "total surface area = 2 * pi * r^2 + 2 * pi * r * h\r<BR>\n" );
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document.write( "desired measurements are radius of 5.1cm and height of 15.1 cm.\r<BR>\n" );
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document.write( "surface area with those measurements = 2 * pi * (5.1)^2 + 2 * pi * 5.1 * 15.1\r<BR>\n" );
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document.write( "this is equal to 647.2937503 square cm.\r<BR>\n" );
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document.write( "actual measurements are radius of 5 cm and height of 15 cm.\r<BR>\n" );
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document.write( "surface area with those measurements = 2 * pi * 5^2 + 2 * pi * 5 * 15\r<BR>\n" );
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document.write( "this is equal to 628.3185307\r<BR>\n" );
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document.write( "the difference from the desired amount is equal to 18.97521963 square cm.\r<BR>\n" );
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document.write( "the % difference from the desired amount is equal to 3.02%\r<BR>\n" );
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document.write( " </SPAN>\n" );
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