document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=243261>Question 243261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cylindrical can of internal radius 20 cm stands upright on a flat surface.  It contains water to a depth of 20 cm.  Calculate the rise in the level of the water when a brick of a volume of 1500cm^3 is immersed in the water. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178226 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=178226\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The brick increases the volume of the water by 1500cm^3.\r<BR>\n" );
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document.write( "The cylindrical can has an internal radius of 20cm.\r<BR>\n" );
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document.write( "It has water to a depth of 20 cm.\r<BR>\n" );
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document.write( "The volume of water in the cylinder is equal to pi * r^2 * h where:\r<BR>\n" );
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document.write( "h = 20 cm<BR>\n" );
document.write( "r = 20 cm\r<BR>\n" );
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document.write( "Volume of water in the cylinder is pi * 20^2 * 20 = pi * 400 * 20 * cm^3.\r<BR>\n" );
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document.write( "This equals pi * 8000 * cm^3 which equals 25132.74123 * cm^3.\r<BR>\n" );
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document.write( "Add 1500 * cm^3 to that and you get a total of 26632.74123 * cm^3\r<BR>\n" );
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document.write( "The radius of the cylinder remains the same as 20 * cm.\r<BR>\n" );
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document.write( "The formula for the volume of the cylinder is the same (pi * r^2 * h)\r<BR>\n" );
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document.write( "Only the height can vary.\r<BR>\n" );
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document.write( "The formula becomes:\r<BR>\n" );
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document.write( "26632.74123 = pi * 400 * h\r<BR>\n" );
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document.write( "Divide both sides of this equation by pi * 400 to get:\r<BR>\n" );
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document.write( "26632.74123 * cm^3 / (pi * 400 * cm^2) = h\r<BR>\n" );
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document.write( "Solve for h to get:\r<BR>\n" );
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document.write( "h = 21.19366207 cm\r<BR>\n" );
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document.write( "The original height was 20 cm^3\r<BR>\n" );
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document.write( "The water level rose 1.193662073 * cm </SPAN>\n" );
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