document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209182>Question 1209182</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Four cubes of ice with an edge of 4 centimeters each are left to melt in a cylindrical glass with a radius of 6 cm. how high will the water rise when they have melted? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #847781 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=847781\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "Interesting fact from Science is that the volume of ice before melting  <BR>\n" );
document.write( "is GREATER than the volume of the water after melting.\r<BR>\n" );
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document.write( "It is why the ice always floats on the surface of the water <BR>\n" );
document.write( "and does not sink in water.\r<BR>\n" );
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document.write( "Usually, school students learn this fact when they are 6th or 7th grade.\r<BR>\n" );
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document.write( "The difference in volumes is not so small.  The ratio of the ice density <BR>\n" );
document.write( "to the water density at normal conditions is about 0.92;<BR>\n" );
document.write( "so the difference of volumes is about 8.7%.\r<BR>\n" );
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document.write( "Again, although the chemical formula of water in fluid state and in solid state <BR>\n" );
document.write( "is the same H2O, their phase states are different.\r<BR>\n" );
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document.write( "There is no any logical or physical reason to assume that their volumes <BR>\n" );
document.write( "before melting and after melting are the same.\r<BR>\n" );
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document.write( "We make this assumption with the only reason to solve the problem, <BR>\n" );
document.write( "but physically and logically we have no solid base for making this assumption.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Physically, this assumption is wrong.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Physically, at the phase change, the mass conserves, \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;but the volume does not necessary conserve.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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