document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=610383>Question 610383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the height of a cylinder measures 4 cm more than its radius. find the height of the cylinder if its total area is 140pi? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #384351 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=384351\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the height of a cylinder measures 4 cm more than its radius. find the height of the cylinder if its total area is 140pi?<BR>\n" );
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document.write( "Total surface area = 2(pi)r^2 + 2(pi)r*h<BR>\n" );
document.write( "Solve:<BR>\n" );
document.write( "140 = 2(pi)r^2 + 2(pi)*r(r+4)<BR>\n" );
document.write( "70 = (pi)r^2 + (pi)(r^2+4r)<BR>\n" );
document.write( "70 = 2(pi)r^2 + 4(pi)r<BR>\n" );
document.write( "35 = (pi)r^2 + 2(pi)r<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "(pi)r^2 + 2(pi)r - 35 = 0<BR>\n" );
document.write( "r = 2.484 cm<BR>\n" );
document.write( "h = 6.484 cm<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( "===================================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );