document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=647324>Question 647324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let A and B be two solid spheres such that the surface area of B is 300% higher than the surface area of A. The volume of A is found to be k% lower than the volume of B. The value of k must be </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #406117 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=406117\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let A and B be two solid spheres such that the surface area of B is 300% higher than the surface area of A. The volume of A is found to be k% lower than the volume of B. The value of k must be<BR>\n" );
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document.write( "300% more = 4 times the area.<BR>\n" );
document.write( "Area is a function of r^2, so r = 2 times.<BR>\n" );
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document.write( "Volume is a function of r^3 --> B has 8 times the volume of A<BR>\n" );
document.write( "A's volume is 7/8 less than B's --> 87.5% less volume<BR>\n" );
document.write( "k = 87.5<BR>\n" );
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