document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=789073>Question 789073</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A solid cube of side 8 cm is dropped into a cylindrical tank of radius 7 cm. Calculate the rise in the water level if the original depth of water was 9 cm  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #478733 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=478733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have to assume that the cube is dense enough so it will not float, because if it floated we would need to now what fraction of the cube was submerged.<BR>\n" );
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document.write( "Since the original depth of water, 9 cm, was higher than the height (8 cm) of the cube, the entire cube will be underwater, displacing a volume of water equal to the volume of the cube.<BR>\n" );
document.write( "The volume of the cube is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288cm%29%5E3=512 ALIGN=MIDDLE  ALT=\"%288cm%29%5E3=512\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E3 ALIGN=MIDDLE  ALT=\"cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The water displaced will fill a cylinder of radius 7 cm and height <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm ALIGN=MIDDLE  ALT=\"cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >  above the previous water level.<BR>\n" );
document.write( "The volume of the cylinder of displaced water is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A%287cm%29%5E2%2Ah=512 ALIGN=MIDDLE  ALT=\"pi%2A%287cm%29%5E2%2Ah=512\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E3 ALIGN=MIDDLE  ALT=\"cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=512%2F%28pi%2A%287cm%29%5E2%29 ALIGN=MIDDLE  ALT=\"512%2F%28pi%2A%287cm%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=512%2F49pi ALIGN=MIDDLE  ALT=\"512%2F49pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm=3.3cm ALIGN=MIDDLE  ALT=\"cm=3.3cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >(rounded to the nearest millimeter). </SPAN>\n" );
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