document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194009>Question 194009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> . A heavy metal sphere with radius 10 cm is dropped into a<BR>\n" );
document.write( "right circular cylinder with base radius of 10 cm. If the<BR>\n" );
document.write( "original cylinder has water in it that is 20 cm high, how<BR>\n" );
document.write( "high is the water after the sphere is placed in it?\r<BR>\n" );
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document.write( "how do I find this? PLEASE </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145620 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=145620\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "The volume of the water in the cylinder is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ V_w = \pi r^2h = 2000\pi\">\r<BR>\n" );
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document.write( "The volume of the sphere is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ V_s = \frac{4\pi r^3}{3} = \frac{4000\pi}{3}\">\r<BR>\n" );
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document.write( "Once you drop the sphere into the water, the water level will rise to a height that represents the volume of the water plus the sphere.\r<BR>\n" );
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document.write( "The volume of the water plus the sphere:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ V_T = V_w + V_s = 2000\pi + \frac{4000\pi}{3} = \frac{6000\pi}{3} + \frac{4000\pi}{3} = \frac{10000\pi}{3}\">\r<BR>\n" );
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document.write( "Divide the total volume by the area of the base of the cylinder to get the height of the water:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{10000\pi}{3} \div 100\pi = \frac{100}{3}\"> centimeters.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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