document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=765577>Question 765577</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the outside surface area. Note that the cylinder does not have a top. (Assume a = 2 cm and b = 9 cm. Find the exact solution or round your answer to three decimal places.)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466263 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=466263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  The surface area of a cylinder can be found by breaking it down into three parts:\r<BR>\n" );
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document.write( "    The two circles that make up the ends of the cylinder.<BR>\n" );
document.write( "    The side of the cylinder, which when \"unrolled\" is a rectangle<BR>\n" );
document.write( "The area of the rectangle is the width times height.\r<BR>\n" );
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document.write( "The area of a circle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2%2Api ALIGN=MIDDLE  ALT=\"r%5E2%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the combined area of the two disks is twice that, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2r%5E2%2Api ALIGN=MIDDLE  ALT=\"2r%5E2%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "The width is the height <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the cylinder, and the length is the distance around the end circles. \r<BR>\n" );
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document.write( "This is the circumference of the circle and is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2Ar ALIGN=MIDDLE  ALT=\"2%2Api%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Thus the rectangle's area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2Ar+%2A+h ALIGN=MIDDLE  ALT=\"2%2Api%2Ar+%2A+h\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA=2r%5E2%2Api%2B2%2Api%2Ar+%2A+h ALIGN=MIDDLE  ALT=\"SA=2r%5E2%2Api%2B2%2Api%2Ar+%2A+h\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since your  cylinder  does not have a top, the surface area will be\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA=r%5E2%2Api%2B2%2Api%2Ar+%2A+h ALIGN=MIDDLE  ALT=\"SA=r%5E2%2Api%2B2%2Api%2Ar+%2A+h\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if your <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=r=2cm ALIGN=MIDDLE  ALT=\"a=r=2cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=h+=9cm ALIGN=MIDDLE  ALT=\"b=h+=9cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA=%282cm%29%5E2%2A3.142%2B2%2A3.142%2A2cm+%2A9cm ALIGN=MIDDLE  ALT=\"SA=%282cm%29%5E2%2A3.142%2B2%2A3.142%2A2cm+%2A9cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA=4cm%5E2%2A3.142%2B6.284%2A18cm%5E2 ALIGN=MIDDLE  ALT=\"SA=4cm%5E2%2A3.142%2B6.284%2A18cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA=12.568cm%5E2%2B113.112cm%5E2 ALIGN=MIDDLE  ALT=\"SA=12.568cm%5E2%2B113.112cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SA=125.68cm%5E2 ALIGN=MIDDLE  ALT=\"SA=125.68cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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