document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205513>Question 1205513</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A conical vessel is 10cm deep. if it is half-filled with water, use tables to find the depth of the liquid to 2 significant figures.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842365 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=842365\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "\"Use tables\"...?<br><BR>\n" );
document.write( "The ratio of the volume of water to the volume of the vessel is 1:2.  By a powerful general principle regarding similar figures, the ratio of corresponding linear measurements in the two figures is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%3Aroot%283%2C2%29 ALIGN=MIDDLE  ALT=\"1%3Aroot%283%2C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "The depth of the vessel is 10cm; the depth of the water in cm is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Froot%283%2C2%29 ALIGN=MIDDLE  ALT=\"10%2Froot%283%2C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 7.937 to 3 decimal places<br><BR>\n" );
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document.write( "Further notes....<br><BR>\n" );
document.write( "In case you are not familiar with the basic principle here....<br><BR>\n" );
document.write( "If the scale factor (ratio of linear measurements) between two similar figures is A:B, then the ratio of corresponding area measurements is A^2:B^2, and the ratio of corresponding volume measurements is A^3:B^3.<br><BR>\n" );
document.write( "In this problem, given 1:2 as the ratio of volumes, the ratio of depths (a linear measurement) is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%3Aroot%283%2C2%29 ALIGN=MIDDLE  ALT=\"1%3Aroot%283%2C2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
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