document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043411>Question 1043411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The total surface area of a right cylinder is 100 radius square centimeters. If a radius of the base and the altitude of the cylinder are the same length, find the lenth of a radius. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658567 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=658567\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It helps to draw this<BR>\n" );
document.write( "The surface area of a right cylinder is 2&#960;rh+2&#960;r^2, and that equals 100 sq cm.<BR>\n" );
document.write( "Divide everything by 2<BR>\n" );
document.write( "pi*r*h+pi*r^2=50.<BR>\n" );
document.write( "Divide both sides by pi<BR>\n" );
document.write( "rh+r^2=50/pi=15.915<BR>\n" );
document.write( "but r=h<BR>\n" );
document.write( "so r^2+r^2=15.915<BR>\n" );
document.write( "2r^2=15.915<BR>\n" );
document.write( "r^2=7.958 (I didn't round 50/pi)<BR>\n" );
document.write( "r=2.821 cm, rounded at end.<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "the two circles at the end of the cylinder have pi*r^2=pi*7.958=25 sq cm, and the two have an area of 50.<BR>\n" );
document.write( "The wall has height 2.821 and length 2 pi*r=17.72*2.821, and that is 50 cm^2.<BR>\n" );
document.write( "The length of the radius is 2.821 cm.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );