document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1139171>Question 1139171</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The surface area of a closed cone of height h and base radius r is given by<BR>\n" );
document.write( "A = πr² + πr√(h² + r²). <BR>\n" );
document.write( "Show that h = (A/πr)√(1 - (2πr²/A)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #756951 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=756951\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+pi%2Ar%5E2%2B+pi%2Arsqrt%28h%5E2+%2B+r%5E2%29 ALIGN=MIDDLE  ALT=\"A+=+pi%2Ar%5E2%2B+pi%2Arsqrt%28h%5E2+%2B+r%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+-+pi%2Ar%5E2=pi%2Arsqrt%28h%5E2+%2B+r%5E2%29 ALIGN=MIDDLE  ALT=\"A+-+pi%2Ar%5E2=pi%2Arsqrt%28h%5E2+%2B+r%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2F%28pi%2Ar%29+-+%28pi%2Ar%5E2%29%2F%28pi%2Ar%29+=sqrt%28h%5E2+%2B+r%5E2%29 ALIGN=MIDDLE  ALT=\"A%2F%28pi%2Ar%29+-+%28pi%2Ar%5E2%29%2F%28pi%2Ar%29+=sqrt%28h%5E2+%2B+r%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2F%28pi%2Ar%29+-+%28cross%28pi%29%2Ar%5Ecross%282%29%29%2F%28cross%28pi%29%2Across%28r%29%29+=sqrt%28h%5E2+%2B+r%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2F%28pi%2Ar%29+-+r+=sqrt%28h%5E2+%2B+r%5E2%29 ALIGN=MIDDLE  ALT=\"A%2F%28pi%2Ar%29+-+r+=sqrt%28h%5E2+%2B+r%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........square both sides\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28A%2F%28pi%2Ar%29+-+r%29%5E2+=h%5E2+%2B+r%5E2 ALIGN=MIDDLE  ALT=\"%28A%2F%28pi%2Ar%29+-+r%29%5E2+=h%5E2+%2B+r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28A%2F%28pi%2Ar%29%29%5E2+-2%28Ar%2F%28pi%2Ar%29%29%2Br%5E2-r%5E2+=h%5E2+ ALIGN=MIDDLE  ALT=\"%28A%2F%28pi%2Ar%29%29%5E2+-2%28Ar%2F%28pi%2Ar%29%29%2Br%5E2-r%5E2+=h%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E2%2F%28pi%5E2%2Ar%5E2%29+-2A%2Fpi++=h%5E2+ ALIGN=MIDDLE  ALT=\"A%5E2%2F%28pi%5E2%2Ar%5E2%29+-2A%2Fpi++=h%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......common denominator is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%5E2%2Ar%5E2%29 ALIGN=MIDDLE  ALT=\"%28pi%5E2%2Ar%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E2%2F%28pi%5E2%2Ar%5E2%29+-%282A%2Api%2Ar%5E2%29%2F%28pi%5E2%2Ar%5E2%29+=h%5E2+ ALIGN=MIDDLE  ALT=\"A%5E2%2F%28pi%5E2%2Ar%5E2%29+-%282A%2Api%2Ar%5E2%29%2F%28pi%5E2%2Ar%5E2%29+=h%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E2%2F%28pi%5E2%2Ar%5E2%29+-%282A%5E2%2Api%2Ar%5E2%29%2F%28Api%5E2%2Ar%5E2%29+=h%5E2+ ALIGN=MIDDLE  ALT=\"A%5E2%2F%28pi%5E2%2Ar%5E2%29+-%282A%5E2%2Api%2Ar%5E2%29%2F%28Api%5E2%2Ar%5E2%29+=h%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > factor out common <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E2%2F%28pi%5E2%2Ar%5E2%29 ALIGN=MIDDLE  ALT=\"A%5E2%2F%28pi%5E2%2Ar%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28A%5E2%2F%28pi%5E2%2Ar%5E2%29%29%281+-%282pi%2Ar%5E2%29%2FA+%29=h%5E2+ ALIGN=MIDDLE  ALT=\"%28A%5E2%2F%28pi%5E2%2Ar%5E2%29%29%281+-%282pi%2Ar%5E2%29%2FA+%29=h%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sqrt%28%28A%5E2%2F%28pi%5E2%2Ar%5E2%29%29%29%2Asqrt%28%281+-%282pi%2Ar%5E2%29%2FA+%29%29 ALIGN=MIDDLE  ALT=\"h=sqrt%28%28A%5E2%2F%28pi%5E2%2Ar%5E2%29%29%29%2Asqrt%28%281+-%282pi%2Ar%5E2%29%2FA+%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=%28A%2F%28pi%2Ar%29%29%2Asqrt%28%281+-%282pi%2Ar%5E2%29%2FA+%29%29 ALIGN=MIDDLE  ALT=\"h=%28A%2F%28pi%2Ar%29%29%2Asqrt%28%281+-%282pi%2Ar%5E2%29%2FA+%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );