document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042848>Question 1042848</A>: <I><SPAN STYLE=\"word-break: break-all;\"> SOLID MENSURATION:the area of a zone of altitude 4 cm is equal to the area of the lune whose angle is 12° and both the zone and the lune are drawn on the same sphere. find the radius of the sphere </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658068 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=658068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the area of a zone of altitude 4 cm is equal to the area of the lune whose angle is 12° and both the zone and the lune are drawn on the same sphere. find the radius of the sphere<BR>\n" );
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document.write( "If by zone you mean a spherical cap, its area is<BR>\n" );
document.write( "2pi*r*h = 8pi*r<BR>\n" );
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document.write( "Area of the lune = 2r^2*(12/180) = 2r^2/15<BR>\n" );
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document.write( "8pi*r = 2r^2/15<BR>\n" );
document.write( "4pi = r/15<BR>\n" );
document.write( "r = 60pi cm </SPAN>\n" );
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