document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1000283>Question 1000283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the radius of a cylinder is decreased by 50% and the height is increased by 50%, then what is the volume of the change....? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617793 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=617793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> volume = pi * r^2 * h\r<BR>\n" );
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document.write( "your new r = 1/2 * the original r = (1/2 * r).<BR>\n" );
document.write( "your new h = 2 * the original h = (2 * h)\r<BR>\n" );
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document.write( "formula becomes:\r<BR>\n" );
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document.write( "volume = pi * (1/2 * r)^2 * (2 * h) which becomes:\r<BR>\n" );
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document.write( "volume = pi * (1/2)^2 * r^2 * 2 * h which becomes:\r<BR>\n" );
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document.write( "volume = pi * 1/4 * r^2 * 2 * h which becomes:\r<BR>\n" );
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document.write( "volume = pi * 1/4 * 2 * r^2 * h which becomes:\r<BR>\n" );
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document.write( "volume = pi * 2/4 * r^2 * h which becomes:\r<BR>\n" );
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document.write( "volume = pi * 1/2 * r^2 * h.\r<BR>\n" );
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document.write( "the new volume is half the original volume.\r<BR>\n" );
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document.write( "here's an example:\r<BR>\n" );
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document.write( "assume the radius is equal to 4 and the height is equal to 4.\r<BR>\n" );
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document.write( "original volume is pi * 4^2 * 4 = pi * 16 * 4 = pi * 64\r<BR>\n" );
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document.write( "revised volume is pi * 2^2 * 8 = pi * 4 * 8 = pi * 32\r<BR>\n" );
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document.write( "pi * 32 is 1/2 the volume of pi * 64.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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