document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1130066>Question 1130066</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. Water is flowing into the tank at a rate of 20 cubic feet per minute. Find the rate of change of the depth of the water when the water is 4 feet deep.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746713 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=746713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet across the top => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=10ft ALIGN=MIDDLE  ALT=\"d=10ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=5ft ALIGN=MIDDLE  ALT=\"r=5ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12+ ALIGN=MIDDLE  ALT=\"12+\"   DISABLED_style= \"max-width:90%; height:auto;\" >feet deep=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=12ft ALIGN=MIDDLE  ALT=\"h=12ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Water is flowing into the tank at a rate of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2Fdt=20+ft%5E3%2Fmin ALIGN=MIDDLE  ALT=\"dV%2Fdt=20+ft%5E3%2Fmin\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "the water is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet deep=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5B1%5D=4ft ALIGN=MIDDLE  ALT=\"h%5B1%5D=4ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "find: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dh%2Fdt ALIGN=MIDDLE  ALT=\"dh%2Fdt\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2Fh=5%2F12 ALIGN=MIDDLE  ALT=\"r%2Fh=5%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12r=5h ALIGN=MIDDLE  ALT=\"12r=5h\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=5h%2F12 ALIGN=MIDDLE  ALT=\"r=5h%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%281%2F3%29pi%2Ar%5E2%2Ah ALIGN=MIDDLE  ALT=\"V=%281%2F3%29pi%2Ar%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%281%2F3%29pi%2A%285h%2F12%29%5E2%2Ah ALIGN=MIDDLE  ALT=\"V=%281%2F3%29pi%2A%285h%2F12%29%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%281%2F3%29pi%2A%2825h%5E2%2F144%29%2Ah ALIGN=MIDDLE  ALT=\"V=%281%2F3%29pi%2A%2825h%5E2%2F144%29%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%281%2F3%29pi%2A%2825%2F144%29h%5E3 ALIGN=MIDDLE  ALT=\"V=%281%2F3%29pi%2A%2825%2F144%29h%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2Fdt=%281%2F3%29pi%2A%2825%2F144%29%2A3h%5E2%28dh%2Fdt%29 ALIGN=MIDDLE  ALT=\"dV%2Fdt=%281%2F3%29pi%2A%2825%2F144%29%2A3h%5E2%28dh%2Fdt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2Fdt=%281%2Fcross%283%29%29pi%2A%2825%2F144%29%2Across%283%29h%5E2%28dh%2Fdt%29 ALIGN=MIDDLE  ALT=\"dV%2Fdt=%281%2Fcross%283%29%29pi%2A%2825%2F144%29%2Across%283%29h%5E2%28dh%2Fdt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2Fdt=pi%2A%2825%2F144%29%2Ah%5E2%28dh%2Fdt%29 ALIGN=MIDDLE  ALT=\"dV%2Fdt=pi%2A%2825%2F144%29%2Ah%5E2%28dh%2Fdt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2Fdt=%2825%2Ah%5E2%2Api%29%2F144%28dh%2Fdt%29 ALIGN=MIDDLE  ALT=\"dV%2Fdt=%2825%2Ah%5E2%2Api%29%2F144%28dh%2Fdt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........multiply by recip.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28dh%2Fdt%29=144%2F%2825%2Ah%5E2%2Api%29%28dV%2Fdt%29 ALIGN=MIDDLE  ALT=\"%28dh%2Fdt%29=144%2F%2825%2Ah%5E2%2Api%29%28dV%2Fdt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=4 ALIGN=MIDDLE  ALT=\"h=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2Fdt=20+ ALIGN=MIDDLE  ALT=\"dV%2Fdt=20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > we have\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28dh%2Fdt%29=144%2F%2825%2A4%5E2%2Api%29%2820%29 ALIGN=MIDDLE  ALT=\"%28dh%2Fdt%29=144%2F%2825%2A4%5E2%2Api%29%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28dh%2Fdt%29=cross%28144%299%2F%28cross%2825%295%2Across%2816%29%2Api%29%28cross%2820%294%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28dh%2Fdt%29=9%2F%285%2Api%29%284%29 ALIGN=MIDDLE  ALT=\"%28dh%2Fdt%29=9%2F%285%2Api%29%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28dh%2Fdt%29=36%2F%285%2Api%29+%28ft%2Fmin%29 ALIGN=MIDDLE  ALT=\"%28dh%2Fdt%29=36%2F%285%2Api%29+%28ft%2Fmin%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );