document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=14136>Question 14136</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the radius r of a sphere is increasing at a rate of 2 inches per minute. find the rate of change of the volume when r=6 inches and dr/dt=24 inches. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #7099 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=7099\">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=V+=+%284%2F3%29%2Api%2Ar%5E3 ALIGN=MIDDLE  ALT=\"V+=+%284%2F3%29%2Api%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2Fdr+=+4%2Api%2Ar%5E2 ALIGN=MIDDLE  ALT=\"dV%2Fdr+=+4%2Api%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28dV%2Fdt%29+=+%28dV%2Fdr%29%2A%28dr%2Fdt%29 ALIGN=MIDDLE  ALT=\"%28dV%2Fdt%29+=+%28dV%2Fdr%29%2A%28dr%2Fdt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> confirm, by cancelling the dr terms on the right.\r<BR>\n" );
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document.write( "so, we have dV/dr, when r=6 --> find dV/dr.\r<BR>\n" );
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document.write( "We also know dr/dt --> 2\r<BR>\n" );
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document.write( "So we can find dV/dt.\r<BR>\n" );
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document.write( "I do not know what the 24 is though... you say it is dr/dt...the rate of change of r, but that is 2, in the question.\r<BR>\n" );
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document.write( "Please check your question.\r<BR>\n" );
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document.write( "jon.<BR>\n" );
document.write( " </SPAN>\n" );
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