document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=616163>Question 616163</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tube has the radius of 3cm and a height of 8cm, what is the surface of the tube </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387520 by </B><A HREF=/tutors/aboutme.mpl?userid=dragonwalker><B>dragonwalker(73)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dragonwalker><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=387520\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I don't want to confuse, but is it an open ended tube so there is only the body that actually has a surface area or is it a solid cylinder.\r<BR>\n" );
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document.write( "Rather than just giving a formula which you can get anywhere I will give you an approach that will show the logic.\r<BR>\n" );
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document.write( "To find the surface area of the middle without the two ends think of a paper towel roll. If you cut along and then opened it up you would end up with a rectangle where in this case the length would be 8cm and the width would be the circumference of the circle.\r<BR>\n" );
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document.write( "So first find the circumference by using the formula 2 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > r. <BR>\n" );
document.write( " r=3 so the circumference is 6 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 18.85\r<BR>\n" );
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document.write( "So to get the area of the rectangle you multiply length by width as so\r<BR>\n" );
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document.write( "18.85 x 8.00 = 150.80 cm^2\r<BR>\n" );
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document.write( "If you need to add the surface of both ends then you just need to add the surface area of the two circles.\r<BR>\n" );
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document.write( "The formula to find one of the circles is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2 ALIGN=MIDDLE  ALT=\"r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > x <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2 ALIGN=MIDDLE  ALT=\"3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "              = 28.27\r<BR>\n" );
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document.write( "we have two circles so the total for both is 28.27 x 2 = 56.54\r<BR>\n" );
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document.write( "So add the two circles and the rectangle areas to get the total surface area of a solid tube:\r<BR>\n" );
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document.write( "150.80 + 56.54 = 207.34\r<BR>\n" );
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