document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154329>Question 1154329</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A vessel has a shape of a right circular cone with a depth of 33 cm and a top diameter 22 cm. The vessel contains liquid to a depth of 15 cm. How many more litres of liquid needs to be added in order to fill the vessel?\r<BR>\n" );
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document.write( "Round to one decimal place. \r<BR>\n" );
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document.write( "please help me solve it <BR>\n" );
document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776721 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=776721\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The diameter and depth of the cone are in the ratio 22:33 = 2:3.<br><BR>\n" );
document.write( "When the cone is filled to any depth, the liquid is in the shape of a cone similar to the whole cone -- that is, the diameter and depth are always in the ratio 2:3.<br><BR>\n" );
document.write( "So when the depth of the liquid is 15cm, the diameter of the surface of the liquid is 10cm.<br><BR>\n" );
document.write( "The volume of the cone in cm^3 is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%28pi%29%2811%5E2%29%2833%29+=+1331pi ALIGN=MIDDLE  ALT=\"%281%2F3%29%28pi%29%2811%5E2%29%2833%29+=+1331pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "When the depth of the liquid is 15cm, the volume of liquid is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%28pi%29%285%5E2%29%2815%29+=+125pi ALIGN=MIDDLE  ALT=\"%281%2F3%29%28pi%29%285%5E2%29%2815%29+=+125pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The amount of liquid needed to fill the container is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1331pi-125pi+=+1206pi ALIGN=MIDDLE  ALT=\"1331pi-125pi+=+1206pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Perform the calculation and convert the answer in cm^3 to liters.  (1 liter = 1000 cm^3)<br><BR>\n" );
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