document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=967724>Question 967724</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cylindrical containers are shown. Container A has a radius r and a height of h and holds a maximum of 100 ounces of water. Container B has a radius of 4r and a height of  12 h .\r<BR>\n" );
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document.write( "What is the maximum amount of water that Container B can hold?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591510 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=591510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two cylindrical containers are shown. Container A has a radius r and a height of h and holds a maximum of 100 ounces of water. Container B has a radius of 4r and a height of 12 h .\r<BR>\n" );
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document.write( "formula for volume of container A is v1 = pi * r^2 * h.\r<BR>\n" );
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document.write( "formula for volume of container B is v2 = pi * (4r)^2 * 12h.\r<BR>\n" );
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document.write( "simplify formula for container B to get v2 = pi * 16 * r^2 * 12 * h.\r<BR>\n" );
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document.write( "simplify further to get v2 = 192 * pi * r^2 * h.\r<BR>\n" );
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document.write( "you have v1 = pi * r^2 * h.<BR>\n" );
document.write( "you have v2 = 192 * pi * r^2 * h.\r<BR>\n" );
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document.write( "the volume for container B is 192 times the volume for container A.\r<BR>\n" );
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document.write( "if container A holds 100 ounces of water, then container B should contain 192 * 100 ounces of water which would then be equal to 19,200 ounces of water.\r<BR>\n" );
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document.write( "this assumes the ratio of ounces to volume remains the wame.\r<BR>\n" );
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document.write( "100 / v1 = x / (192 * v1)\r<BR>\n" );
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document.write( "cross multiply to get 100 * 192 * v1 = x * v1\r<BR>\n" );
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document.write( "divide both sides of that equation by v1 to get 100 * 192 = x.\r<BR>\n" );
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document.write( "solve for x to get x= 19,200 ounces.\r<BR>\n" );
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