document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=965680>Question 965680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the base of a container is a square of side 30 cm. a stone is placed in the container. then water is poured into the container until it is 3/4 full. when the stone is removed, the water level drops to 5/8 of the height of the container. if the volume of the stone is 4500 cubed cm, find the height of the container. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #590232 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=590232\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When the stone is removed, occupied tank volume changes from 3/4 full to 5/8 full;<BR>\n" );
document.write( "when 4500 cm^3 is removed, the tank filled volume changes from 6/8 full to 5/8 full;\r<BR>\n" );
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document.write( "When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4500%2Acm%5E3 ALIGN=MIDDLE  ALT=\"4500%2Acm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is removed, the was a tank volume change of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F8-5%2F8=1%2F8 ALIGN=MIDDLE  ALT=\"6%2F8-5%2F8=1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the tank's volume.\r<BR>\n" );
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document.write( "The tank volume is proportional to its height or tallness.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2A30%2Ay=4500 ALIGN=MIDDLE  ALT=\"30%2A30%2Ay=4500\"   DISABLED_style= \"max-width:90%; height:auto;\" >, using y for the amount of vertical length along the tank for the stone.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4500%2F900 ALIGN=MIDDLE  ALT=\"y=4500%2F900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=45%2F9 ALIGN=MIDDLE  ALT=\"y=45%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5 ALIGN=MIDDLE  ALT=\"y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this is centimeters.\r<BR>\n" );
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document.write( "That y=5  is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29 ALIGN=MIDDLE  ALT=\"%281%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the tank's height.\r<BR>\n" );
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document.write( "Finally, if h is the actual tank height\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y%2Fh=1%2F6%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y%2Fh=1%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=h%2F6 ALIGN=MIDDLE  ALT=\"y=h%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Ay=h ALIGN=MIDDLE  ALT=\"6%2Ay=h\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=6%2Ay ALIGN=MIDDLE  ALT=\"h=6%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=6%2A5 ALIGN=MIDDLE  ALT=\"h=6%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28h=30%2Acentimeters%29 ALIGN=MIDDLE  ALT=\"highlight%28h=30%2Acentimeters%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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