document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151280>Question 151280</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A high-altitude spherical weather balloon expands as it rises due to the drop in atmospheric pressure. Suppose that the radius r increases at the rate of 0.03in./sec and that r = 48in. at time t = 0; Determine an equation that models the volume v of the balloon at time t, and find the volume v of the balloon at time t, and find the volume when t = 300 sec\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111193 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=111193\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A high-altitude spherical weather balloon expands as it rises due to the drop in atmospheric pressure. Suppose that the radius r increases at the rate of 0.03in./sec and that r = 48in. at time t = 0; Determine an equation that models the volume v of the balloon at time t, and find the volume v of the balloon at time t, and find the volume when t = 300 sec<BR>\n" );
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document.write( "Volume of a sphere: V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"%284%2F3%29pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Volume when the balloon is launched (t=0):<BR>\n" );
document.write( "V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29pi%2A48%5E3 ALIGN=MIDDLE  ALT=\"%284%2F3%29pi%2A48%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V = 463,246.7 cu inches<BR>\n" );
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document.write( "The equation for this problem: t = time in seconds<BR>\n" );
document.write( "V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29pi%2A%2848%2B.03t%29%5E3 ALIGN=MIDDLE  ALT=\"%284%2F3%29pi%2A%2848%2B.03t%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "For t = 300<BR>\n" );
document.write( "V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29pi%2A%2848%2B.03%2A300%29%5E3 ALIGN=MIDDLE  ALT=\"%284%2F3%29pi%2A%2848%2B.03%2A300%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29pi%2A%2848%2B9%29%5E3 ALIGN=MIDDLE  ALT=\"%284%2F3%29pi%2A%2848%2B9%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29pi%2A57%5E3 ALIGN=MIDDLE  ALT=\"%284%2F3%29pi%2A57%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V = 775,734.6 cu inches after 300 sec </SPAN>\n" );
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