document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=842348>Question 842348</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. \r<BR>\n" );
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document.write( "I tried r=7.227  to get pi(7.227)^2 to get 164 but that did not work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #507517 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=507517\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This analysis assumes just the wall cylinder without any top or bottom.\r<BR>\n" );
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document.write( "r=2h, r is radius and h is height or tallness.<BR>\n" );
document.write( "Volume is <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=%28r%2F2%29pi%2Ar%5E2=164 ALIGN=MIDDLE  ALT=\"%28r%2F2%29pi%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=%281%2F2%29pi%2Ar%5E3=164 ALIGN=MIDDLE  ALT=\"%281%2F2%29pi%2Ar%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=pi%2Ar%5E3=328 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E3=328\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=root%283%2C328%2Fpi%29 ALIGN=MIDDLE  ALT=\"r=root%283%2C328%2Fpi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r=2%2Aroot%283%2C41%2Fpi%29%29 ALIGN=MIDDLE  ALT=\"highlight%28r=2%2Aroot%283%2C41%2Fpi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28h=root%283%2C41%2Fpi%29%29 ALIGN=MIDDLE  ALT=\"highlight%28h=root%283%2C41%2Fpi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The surface area of just the tube part without any top or bottom:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Api%2Ar%29%2Ah ALIGN=MIDDLE  ALT=\"%282%2Api%2Ar%29%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is circumference by \"length\".<BR>\n" );
document.write( "Substitute the values found.<BR>\n" );
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document.write( "Those Substitutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2A%282%2Aroot%283%2C41%2Fpi%29%29%28root%283%2C41%2Fpi%29%29 ALIGN=MIDDLE  ALT=\"2%2Api%2A%282%2Aroot%283%2C41%2Fpi%29%29%28root%283%2C41%2Fpi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284%2Api%28root%283%2C41%2Fpi%29%29%28root%283%2C41%2Fpi%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%284%2Api%28root%283%2C41%2Fpi%29%29%28root%283%2C41%2Fpi%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "A separate substep, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C41%2Fpi%29=root%283%2C13.050705%29=highlight_green%282.3544%29 ALIGN=MIDDLE  ALT=\"root%283%2C41%2Fpi%29=root%283%2C13.050705%29=highlight_green%282.3544%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Surface area may be represented <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Api%2A2.3544%2A2.3544 ALIGN=MIDDLE  ALT=\"4%2Api%2A2.3544%2A2.3544\"   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%2A5.54314 ALIGN=MIDDLE  ALT=\"4%2Api%2A5.54314\"   DISABLED_style= \"max-width:90%; height:auto;\" >...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2822.1725%2Api%29 ALIGN=MIDDLE  ALT=\"highlight%2822.1725%2Api%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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