document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=843139>Question 843139</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that the volume of a cylinder is 164, and the radius of the cylinder is twice the height, find the surface Area of the cylinder. <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 #508032 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=508032\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> JUST the tubular surface, no top or bottom disk:\r<BR>\n" );
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document.write( "h for height, r for radius,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Api%2Ar%29%28h%29 ALIGN=MIDDLE  ALT=\"%282%2Api%2Ar%29%28h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the surface area, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=2h ALIGN=MIDDLE  ALT=\"r=2h\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Surface Area is then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%282%2Api%282h%29%28h%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%282%2Api%282h%29%28h%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The volume:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2Api%2Ar%5E2=164 ALIGN=MIDDLE  ALT=\"h%2Api%2Ar%5E2=164\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2Api%2A%282h%29%5E2=164 ALIGN=MIDDLE  ALT=\"h%2Api%2A%282h%29%5E2=164\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Api%2Ah%5E3=164 ALIGN=MIDDLE  ALT=\"4%2Api%2Ah%5E3=164\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E3=164%2F%284%2Api%29 ALIGN=MIDDLE  ALT=\"h%5E3=164%2F%284%2Api%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E3=41%2Fpi ALIGN=MIDDLE  ALT=\"h%5E3=41%2Fpi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=root%283%2C41%2Fpi%29 ALIGN=MIDDLE  ALT=\"h=root%283%2C41%2Fpi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----useful for the \"height\"\r<BR>\n" );
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document.write( "Use the value for h as it is in the surface area formula shown green highlighted.\r<BR>\n" );
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document.write( "Surface Area:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Api%2A%28h%5E2%29=highlight%284%2Api%2A%28root%283%2C41%2Fpi%29%29%5E2=4%2Api%2Ah%5E%282%2F3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Either way you can finish the computation using a calculator or some other reasonable approximation.\r<BR>\n" );
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