document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935501>Question 935501</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you double the radius of a right cylinder. Explain why the surface area is not doubled using the proper formula. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568724 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=568724\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "the formula for surface area of a right cylinder is:\r<BR>\n" );
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document.write( "sa1 = 2*pi*r*h + 2*pi*r^2\r<BR>\n" );
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document.write( "double the surface area and you get:\r<BR>\n" );
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document.write( "sa2 = 2*(2*pi*r*h + 2*pi*r^2) which becomes:\r<BR>\n" );
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document.write( "sa2 = 4*pi*r*h + 4*pi*r^2\r<BR>\n" );
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document.write( "double the radius of the original formula and you get:\r<BR>\n" );
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document.write( "sa3 = 2*pi*(2*r)*h + 2*pi*(2*r)^2 which becomes:\r<BR>\n" );
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document.write( "sa3 = 2*pi*2*r*h + 2*pi*2^2*r^2 which becomes:\r<BR>\n" );
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document.write( "sa3 = 4*pi*r*h + 2*pi*4*r^2 which becomes:\r<BR>\n" );
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document.write( "sa3 = 4*pi*r*h + 8*pi*r^2.\r<BR>\n" );
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document.write( "if the surface area is doubled when you double the radius, then sa2 would be equal to sa3.\r<BR>\n" );
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document.write( "it is not.\r<BR>\n" );
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document.write( "sa2 = 4*pi*r*h + 4*pi*r^2<BR>\n" );
document.write( "sa3 = 4*pi*r*h + 8*pi*r^2\r<BR>\n" );
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document.write( " </SPAN>\n" );
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