document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=782074>Question 782074</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A cylinder with a top and bottom has height 15 in. and has a total surface area that is twice the area of a circle whose radius is 6 in. more than the radius of the cylinder. What is the radius of the cylinder? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #476282 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=476282\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A cylinder with a top and bottom has height 15 in. and has a total surface area that is twice the area of a circle whose radius is 6 in. more than the radius of the cylinder. What is the radius of the cylinder?\r<BR>\n" );
document.write( "\n" );
document.write( "radius of cylinder=r\r<BR>\n" );
document.write( "\n" );
document.write( "radius of circle =r+6\r<BR>\n" );
document.write( "\n" );
document.write( "Area of circle= pi * (r+6)^2\r<BR>\n" );
document.write( "\n" );
document.write( "2 times area = 2pi(r+6)^2\r<BR>\n" );
document.write( "\n" );
document.write( "---\r<BR>\n" );
document.write( "\n" );
document.write( "Area of cylinder\r<BR>\n" );
document.write( "\n" );
document.write( "2pir^2+2pirh\r<BR>\n" );
document.write( "\n" );
document.write( "2pir^2+2pir*15\r<BR>\n" );
document.write( "\n" );
document.write( "2pir^2+30pir\r<BR>\n" );
document.write( "\n" );
document.write( "equate both\r<BR>\n" );
document.write( "\n" );
document.write( "2pir^2+30pir=2pi(r+6)^2<BR>\n" );
document.write( "2pir(r+15)=2pi(r+6)^2<BR>\n" );
document.write( "r(r+15)=(r+6)^2\r<BR>\n" );
document.write( "\n" );
document.write( "r^2+15r=r^2+12r+36\r<BR>\n" );
document.write( "\n" );
document.write( "15r-12r=36\r<BR>\n" );
document.write( "\n" );
document.write( "3r=36<BR>\n" );
document.write( "/3<BR>\n" );
document.write( "r=12\r<BR>\n" );
document.write( "\n" );
document.write( "radius = 12 inch\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );