document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083682>Question 1083682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,  I have two Similar cones Large and small.  Large cone is 9cm radius 15 cm slant height.  The small cone has a lateral area of 60 pi.<BR>\n" );
document.write( "How do I find the volume of the small cone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697718 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=697718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> radius: r<BR>\n" );
document.write( "length of the slant side: l<BR>\n" );
document.write( "height: h<BR>\n" );
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document.write( "height: h = sqrt(l^2-r^2)<BR>\n" );
document.write( "your large cone: <BR>\n" );
document.write( "h = sqrt(15^2-9^2) = 12<BR>\n" );
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document.write( "Area of the base : Pi*r^2<BR>\n" );
document.write( "Lateral area . . : Pi*r*l (large cone: Pi*9*15 = Pi*135 = 424.12)<BR>\n" );
document.write( "Area of the cone: Pi*r^2+Pi*r*l<BR>\n" );
document.write( "your large cone:<BR>\n" );
document.write( "area = (Pi*9^2)+(Pi*9*15) = 254.47+424.12 = 678.58 is the total area of the large cone<BR>\n" );
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document.write( "Volume of the cone: (Pi*r^2*h)/3 = (Pi*81*12)/3 = 1,017.88<BR>\n" );
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document.write( "Your small cone has a lateral area of 60*Pi = 188.50 and from the formula we know that 60 = r*l. But here I get stuck. How are your cones similar? Do they have the same lateral area ratio, 424.12:188.50? <BR>\n" );
document.write( "I somehow don't think so, I think it's something else. Do they have the same slant height? Or the same height? or the same radius?  </SPAN>\n" );
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