document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1109367>Question 1109367</A>: <I><SPAN STYLE=\"word-break: break-all;\"> As a weather balloon is inflated, its radius increases at the rate of 4 cm per second. Express the volume of the balloon as a function of time, and determine the volume of the balloon after 4 seconds. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #724355 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=724355\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As a weather balloon is inflated, its radius increases at the rate of 4 cm per second. Express the volume of the balloon as a function of time, and determine the volume of the balloon after 4 seconds.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+4pi%2Ar%5E3%2F3 ALIGN=MIDDLE  ALT=\"V+=+4pi%2Ar%5E3%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "dV/dt = 4pi*r^2*dr/dt --- 1st derivative<BR>\n" );
document.write( "dV/dt = 16pi*r^2 cc/sec<BR>\n" );
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document.write( "If you mean 4 seconds after its volume was zero:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+4pi%2Ar%5E3%2F3+=+4pi%2A16%5E3%2F3 ALIGN=MIDDLE  ALT=\"V+=+4pi%2Ar%5E3%2F3+=+4pi%2A16%5E3%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= 16384*pi/3 cc\r<BR>\n" );
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document.write( " </SPAN>\n" );
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