document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049933>Question 1049933</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the volumes of two spheres is 105 pi cubic inches. Their areas have the ratio 4:9. Find the volume of each sphere. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #665521 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=665521\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the volumes of two spheres is 105 pi cubic inches. Their areas have the ratio 4:9. Find the volume of each sphere.<BR>\n" );
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document.write( "Surface area is a function of the square of the radius.<BR>\n" );
document.write( "SA ratio of 4:9 --> radius ratio of 2:3<BR>\n" );
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document.write( "Volume is a function of the cube of the radius = 8:27<BR>\n" );
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document.write( "8x + 27x = 105pi<BR>\n" );
document.write( "x = 3pi<BR>\n" );
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document.write( "Volumes = 8*3pi = 24pi, and<BR>\n" );
document.write( "27*3pi = 81pi cubic inches.<BR>\n" );
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