document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=383221>Question 383221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, Please can somebody help with this,\r<BR>\n" );
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document.write( "The base radius r cm of a right-circular cone increases at 2 cm s^-1 and its height h cm at 3 cm s^-1. Show that the rate of increase in its volume V = 1/3 pi r^2h when r = 5 and h = 15 is 125 pi cm^3 s^-1.<BR>\n" );
document.write( "Thank You </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #271390 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=271390\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%28pi%2F3%29%28hr%5E2%29 ALIGN=MIDDLE  ALT=\"V+=+%28pi%2F3%29%28hr%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (separating all the constants)\r<BR>\n" );
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document.write( "h and r are both functions in terms of time, t. We can take dV/dt by the product rule:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2Fdt+=+%28pi%2F3%29%28%28dh%2Fdt%29r%5E2+%2B+h%2A%282r%29%2A%28dr%2Fdt%29%29 ALIGN=MIDDLE  ALT=\"dV%2Fdt+=+%28pi%2F3%29%28%28dh%2Fdt%29r%5E2+%2B+h%2A%282r%29%2A%28dr%2Fdt%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "At this instant, we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dh%2Fdt+=+3+cm%2Fs ALIGN=MIDDLE  ALT=\"dh%2Fdt+=+3+cm%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+15+cm ALIGN=MIDDLE  ALT=\"h+=+15+cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dr%2Fdt+=+2+cm%2Fs ALIGN=MIDDLE  ALT=\"dr%2Fdt+=+2+cm%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+5+cm ALIGN=MIDDLE  ALT=\"r+=+5+cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Substituting all of the known variables in, we obtain\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2Fdt+=+%28pi%2F3%29%2875+cm%5E3%2Fs+%2B+200+cm%5E3%2Fs%29+=+%28%28275%2Api%29%2F3%29+%28cm%5E3%2Fs%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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