document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120912>Question 1120912</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cylindrical container A has radius 20 cm and height 25 cm. It is completely filled with water. <BR>\n" );
document.write( "A rectangular container B has length 40 cm and width 25 cm. Initially the container B was empty. <BR>\n" );
document.write( "All the water from container A is poured into container B. <BR>\n" );
document.write( "The ration of the height of water to the height of container B is 2:3<BR>\n" );
document.write( "Find the height of container B </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #736601 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=736601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\"><BR>\n" );
document.write( "VA = volume of cylinder (container A)<BR>\n" );
document.write( "VA = pi*r^2*h<BR>\n" );
document.write( "VA = pi*20^2*25<BR>\n" );
document.write( "VA = pi*400*25<BR>\n" );
document.write( "VA = 10000pi<BR>\n" );
document.write( "VA = 10000*3.1415926535898<BR>\n" );
document.write( "VA = 31415.926535898<BR>\n" );
document.write( "which is approximate\r<BR>\n" );
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document.write( "VB = volume of rectangular prism or rectangular box (container B)<BR>\n" );
document.write( "VB = L*W*H<BR>\n" );
document.write( "VB = 40*25*H<BR>\n" );
document.write( "VB = 1000*H<BR>\n" );
document.write( "at this point, H is the unknown height of the box\r<BR>\n" );
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document.write( "All of the water in container A is poured into container B. <BR>\n" );
document.write( "We have approximately 31415.926535898 cubic cm of water poured. <BR>\n" );
document.write( "If VB were equal to this approximation, then we'd have some other height k such that\r<BR>\n" );
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document.write( "VB = 31415.926535898<BR>\n" );
document.write( "1000*k = 31415.926535898<BR>\n" );
document.write( "k = 31415.926535898/1000<BR>\n" );
document.write( "k = 31.415926535898<BR>\n" );
document.write( "The height of the water in container B is roughly 31.415926535898 cm.\r<BR>\n" );
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document.write( "We are told that the ratio of the height of water in container B to it's total height is 2:3. <BR>\n" );
document.write( "What this means is that if the height of the water was say 2 cm, then the overall container would be 3 cm tall.\r<BR>\n" );
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document.write( "So we have this basic template<BR>\n" );
document.write( "height ratio = (height of water)/(height of container)<BR>\n" );
document.write( "turning into this<BR>\n" );
document.write( "2/3 = k/H\r<BR>\n" );
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document.write( "Plug in the value for k. Solve for x<BR>\n" );
document.write( "2/3 = k/H<BR>\n" );
document.write( "2/3 = 31.415926535898/H<BR>\n" );
document.write( "2*H = 3*31.415926535898<BR>\n" );
document.write( "2*H = 94.247779607694<BR>\n" );
document.write( "H = 94.247779607694/2<BR>\n" );
document.write( "H = 47.123889803847\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "The approximate height of container B is roughly <font size=4 color=red>47.12 cm</font>. <BR>\n" );
document.write( "This value has been rounded to two decimal places. <BR>\n" );
document.write( "Round to further decimal places if you need more accuracy.<BR>\n" );
document.write( "</font> </SPAN>\n" );
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