document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=155812>Question 155812</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two similar cones have heights 5 and 10. What is the ratio of their volumes? I am graduating in two weeks and I'm getting so nervous, I know this is probably staring at me in face with an answer, but I just can't figure out the formula or whatever it takes this is for a test.  If you can help me this would take so much pressure off my brains.  Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #114797 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=114797\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two similar cones have heights 5 and 10. What is the ratio of their volumes? <BR>\n" );
document.write( ".<BR>\n" );
document.write( "Several things you need to \"bring\" to bear on this problem.<BR>\n" );
document.write( "1. The fact that it is a \"similar\" cone should tell you that all its measurements are in proportion.<BR>\n" );
document.write( "2. The volume of a cone is: V = hB/3<BR>\n" );
document.write( "where<BR>\n" );
document.write( "h is the height<BR>\n" );
document.write( "B is the area of the base<BR>\n" );
document.write( "3. Area of a circle is: (pi)r^2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "If we let r = radius of smaller cone then<BR>\n" );
document.write( "Because the problem tells us: \"Two similar cones have heights 5 and 10\" we can NOW say the radiis are \"r\" and \"2r\".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Volume of smaller cone:<BR>\n" );
document.write( "hB/3<BR>\n" );
document.write( "5(pi)(r^2)/3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Volume of larger cone:<BR>\n" );
document.write( "hB/3<BR>\n" );
document.write( "10(pi)(4r^2)/3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Finally, the ratio of their volumes:<BR>\n" );
document.write( "[5(pi)(r^2)/3]/[10(pi)(4r^2)/3]<BR>\n" );
document.write( "multiplying numerator and denominator by 3:<BR>\n" );
document.write( "[5(pi)(r^2)]/[10(pi)(4r^2)]<BR>\n" );
document.write( "dividing numerator and denominator by pi:<BR>\n" );
document.write( "[5(r^2)]/[10(4r^2)]<BR>\n" );
document.write( "dividing numerator and denominator by r^2:<BR>\n" );
document.write( "[5]/[10(4)]<BR>\n" );
document.write( "dividing numerator and denominator by 5:<BR>\n" );
document.write( "[1]/[2(4)]<BR>\n" );
document.write( "finally, resulting in:<BR>\n" );
document.write( "1/8 </SPAN>\n" );
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