document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=470631>Question 470631</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cylinderical can is designed to hold a volume of 1000 cm3. \r<BR>\n" );
document.write( "\n" );
document.write( "If the radius is increased by 25%, what is the corresponding decrease in height so the volume is still 1000 cm3? \r<BR>\n" );
document.write( "\n" );
document.write( "Could you please show all the steps? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #323133 by </B><A HREF=/tutors/aboutme.mpl?userid=poliphob3.14><B>poliphob3.14(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=poliphob3.14><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=323133\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When r is increased by 25% it becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28125%2F100%29%2Ar ALIGN=MIDDLE  ALT=\"%28125%2F100%29%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the volume of the can \r<BR>\n" );
document.write( "\n" );
document.write( "changed to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28125%2F100%29%5E2 ALIGN=MIDDLE  ALT=\"%28125%2F100%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "\n" );
document.write( "When h is decreased by x% it becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28100-x%29%2F100%2Ah ALIGN=MIDDLE  ALT=\"%28100-x%29%2F100%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Since the volume of the \r<BR>\n" );
document.write( "\n" );
document.write( "can does not change we write the equation:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28100%2F125%29%5E2=%28100-x%29%2F100 ALIGN=MIDDLE  ALT=\"%28100%2F125%29%5E2=%28100-x%29%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > solving this equation we get:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810000%2F125%5E2%29%2A100=100-x ALIGN=MIDDLE  ALT=\"%2810000%2F125%5E2%29%2A100=100-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=100-%281000000%2F125%5E2%29 ALIGN=MIDDLE  ALT=\"x=100-%281000000%2F125%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=36 ALIGN=MIDDLE  ALT=\"x=36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Answer:The height is decreased by 36%. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );