document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199151>Question 1199151</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi my question is : <BR>\n" );
document.write( "An orange is spherical. Suppose it grows so that its volume increases at an average rate of <BR>\n" );
document.write( "4cm3 /day. <BR>\n" );
document.write( "a) Express the radius of the orange as a function of time t in days. <BR>\n" );
document.write( "b) Determine the radius of the orange six weeks after it begins growing.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832866 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=832866\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An orange is spherical.<BR>\n" );
document.write( " Suppose it grows so that it's volume increases at an average rate of 4cm3/day.<BR>\n" );
document.write( "a) Express the radius of the orange as a function of time t in days.<BR>\n" );
document.write( "   Volume of a sphere: V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%2Api%2Ar%5E3 ALIGN=MIDDLE  ALT=\"%284%2F3%29%2Api%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "let t = no. of growing days<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%2Api%2Ar%5E3 ALIGN=MIDDLE  ALT=\"%284%2F3%29%2Api%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4t<BR>\n" );
document.write( "Get rid of the denominator, multiply both sides by 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Api%2Ar%5E3 ALIGN=MIDDLE  ALT=\"4%2Api%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 12t<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E3 ALIGN=MIDDLE  ALT=\"r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812t%29%2F%284%2Api%29 ALIGN=MIDDLE  ALT=\"%2812t%29%2F%284%2Api%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E3 ALIGN=MIDDLE  ALT=\"r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283t%29%2F%28pi%29 ALIGN=MIDDLE  ALT=\"%283t%29%2F%28pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283t%29%2F%28pi%29%29%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"%28%283t%29%2F%28pi%29%29%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "b) Determine the radius of the orange six weeks after it begins growing.<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284%2A6%29%2F%28pi%29%29%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"%28%284%2A6%29%2F%28pi%29%29%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2818%2F%28pi%29%29%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"%2818%2F%28pi%29%29%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.73%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"5.73%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = 1.79 cm after 6 weeks </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );