document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114869>Question 1114869</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume of a sphere as a function of its radius is given by V(r)=4/3 pi r^3.  The surface area of a sphere is given by A = 4pi r^2. \r<BR>\n" );
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document.write( "a) find the volume V as a function of the surface area, A. Simplify your answer as much as possible. \r<BR>\n" );
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document.write( "b) Find the surface area, A, as a function of the volume V. Simplify your answer as much as possible.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #729787 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=729787\">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=r%5E2=A%2F%284pi%29 ALIGN=MIDDLE  ALT=\"r%5E2=A%2F%284pi%29\"   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=r=sqrt%28A%2F%284pi%29%29 ALIGN=MIDDLE  ALT=\"r=sqrt%28A%2F%284pi%29%29\"   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=r=%281%2F2%29%2Asqrt%28A%2Fpi%29 ALIGN=MIDDLE  ALT=\"r=%281%2F2%29%2Asqrt%28A%2Fpi%29\"   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=V%28A%29=%284%2F3%29pi%2A%28%281%2F2%29sqrt%28A%2Fpi%29%29%5E3 ALIGN=MIDDLE  ALT=\"V%28A%29=%284%2F3%29pi%2A%28%281%2F2%29sqrt%28A%2Fpi%29%29%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=V%28A%29=%284%2F3%29%281%2F8%29%2Api%2A%28A%2Fpi%29%5E%283%2F2%29 ALIGN=MIDDLE  ALT=\"V%28A%29=%284%2F3%29%281%2F8%29%2Api%2A%28A%2Fpi%29%5E%283%2F2%29\"   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=V%28A%29=%281%2F6%29pi%2A%28A%2Fpi%29%5E%283%2F2%29 ALIGN=MIDDLE  ALT=\"V%28A%29=%281%2F6%29pi%2A%28A%2Fpi%29%5E%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The form could still be simplified or adjusted further. </SPAN>\n" );
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