document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=857462>Question 857462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A can has a diameter of 3in. And a height of 5in. Explain whether doubling the height of the can would have the same effect on the volume as doubling the diameter </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #516593 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=516593\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Translate the description completely into symbols and see what happens.\r<BR>\n" );
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document.write( "volume of a right circular cylinder, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2Api%2A%28d%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"h%2Api%2A%28d%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "h is length top to bottom;<BR>\n" );
document.write( "d is diameter<BR>\n" );
document.write( "And simplifying the expression,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%281%2F4%29h%2Api%28d%5E2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%281%2F4%29h%2Api%28d%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----for our original cylinder.\r<BR>\n" );
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document.write( "Doubling the height, which I have called \"length\" as h:<BR>\n" );
document.write( "volume becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2h%2Api%2A%28d%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"2h%2Api%2A%28d%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplifying,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2h%2Api%28d%5E2%29%2F%282%2A2%29 ALIGN=MIDDLE  ALT=\"2h%2Api%28d%5E2%29%2F%282%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%281%2F2%29h%2Api%28d%5E2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%281%2F2%29h%2Api%28d%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----Cylinder when doubled height.\r<BR>\n" );
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document.write( "Starting again with original cylinder, Doubling the Diameter:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2Api%282d%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"h%2Api%282d%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplifying,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28h%2Api%28d%5E2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28h%2Api%28d%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--------Cylinder when doubled diameter.\r<BR>\n" );
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document.write( "Now you can more easily analyze how doubling the height or doubling the diameter affects the volume of the original cylinder.  You will find that each of the resulting expressions contain the same factor, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2Api%2Ad%5E2 ALIGN=MIDDLE  ALT=\"h%2Api%2Ad%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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