document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1052815>Question 1052815</A>: <I><SPAN STYLE=\"word-break: break-all;\"> DIFF CALC: the height of a right circular cylinder is 50 inches and decreases at the rate of 4 inches per second, while the radius of the base is 20 inches and increases at the rate of one inch per second. at what rate is  the volume changing? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #668120 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=668120\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> So first find the volume,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=pi%2AR%5E2%2AH ALIGN=MIDDLE  ALT=\"V=pi%2AR%5E2%2AH\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the derivative with respect to time,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2Fdt=pi%2AR%5E2%28dH%2Fdt%29%2Bpi%2AH%2A2R%28dR%2Fdt%29 ALIGN=MIDDLE  ALT=\"dV%2Fdt=pi%2AR%5E2%28dH%2Fdt%29%2Bpi%2AH%2A2R%28dR%2Fdt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2Fdt=pi%2A%28R%5E2%28dH%2Fdt%29%2B2%2AH%2AR%28dR%2Fdt%29%29 ALIGN=MIDDLE  ALT=\"dV%2Fdt=pi%2A%28R%5E2%28dH%2Fdt%29%2B2%2AH%2AR%28dR%2Fdt%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting (positive changes increase volume, negative changes decrease volume)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2Fdt=pi%2A%2820%5E2%28-4%29%2B2%2A50%2A20%281%29%29 ALIGN=MIDDLE  ALT=\"dV%2Fdt=pi%2A%2820%5E2%28-4%29%2B2%2A50%2A20%281%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2Fdt=pi%2A%28-1600%2B2000%29 ALIGN=MIDDLE  ALT=\"dV%2Fdt=pi%2A%28-1600%2B2000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2Fdt=400pi ALIGN=MIDDLE  ALT=\"dV%2Fdt=400pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=in%5E3%2Fs ALIGN=MIDDLE  ALT=\"in%5E3%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );