document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034350>Question 1034350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cylindrical tank, with the circular base on the ground, of radius 10 meters, and a height of 20 meters, is filling with water at a rate of 10 cubic meters per second. What is the rate of change of the height of the water when the height is 10 meters? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648986 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=648986\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dv%2Fdt=10%2A+%28m%5E3%2Fs%29 ALIGN=MIDDLE  ALT=\"dv%2Fdt=10%2A+%28m%5E3%2Fs%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > What is <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;\" > when h=10m. Since <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;\" >and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2Fdt=pi%2Ar%5E2%2A%28dh%2Fdt%29 ALIGN=MIDDLE  ALT=\"dV%2Fdt=pi%2Ar%5E2%2A%28dh%2Fdt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2Fdt=10 ALIGN=MIDDLE  ALT=\"dV%2Fdt=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10=pi%2A100%2A%28dh%2Fdt%29 ALIGN=MIDDLE  ALT=\"10=pi%2A100%2A%28dh%2Fdt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dh%2Fdt=1%2F%2810%2Api%29 ALIGN=MIDDLE  ALT=\"dh%2Fdt=1%2F%2810%2Api%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The rate of change of the height is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%2810%2Api%29 ALIGN=MIDDLE  ALT=\"1%2F%2810%2Api%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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