document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=234102>Question 234102</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tank that is a right rectangular prism is 1m x 2m x 3m. Suppose the tank is exactly half full of water and then a heavy metal sphere of radius 30 cm is put into the tank. How high is the water now if the height of the tank is 3m? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172669 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=172669\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A tank that is a right rectangular prism is 1m x 2m x 3m. Suppose the tank is exactly half full of water and then a heavy metal sphere of radius 30 cm is put into the tank. How high is the water now if the height of the tank is 3m?<BR>\n" );
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document.write( "The volume of water in the tank is the area of the bottom x depth of the water.<BR>\n" );
document.write( "= 100*200 sq cm * depth<BR>\n" );
document.write( "The volume of the sphere<BR>\n" );
document.write( "= 4*pi*r^3/3 cc<BR>\n" );
document.write( "= 113097 cc<BR>\n" );
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document.write( "The tank is 1/2 full, then 113097 cc are added.<BR>\n" );
document.write( "V1 = 100*200*150 cc = 3000000 cc <BR>\n" );
document.write( "+ 113097 --> 3113097 cc<BR>\n" );
document.write( "Depth = 3113097/20000<BR>\n" );
document.write( "Depth = 155.65 cm<BR>\n" );
document.write( " </SPAN>\n" );
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