document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=560114>Question 560114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The surface area of a sphere is directly proportional to the square of its radius r. The volume v of the sphere is directly proportional to the  cube of its radius r. Find the percentage increase in v when s increases by 25%.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363678 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=363678\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The surface area of a sphere is directly proportional to the square of its radius r. The volume v of the sphere is directly proportional to the  cube of its radius r. Find the percentage increase in v when s increases by 25%. <BR>\n" );
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document.write( "A 25% increase --> 1.25 times the area<BR>\n" );
document.write( "Change in radius = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281.25%29 ALIGN=MIDDLE  ALT=\"sqrt%281.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Change in volume = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%281.25%29%29%5E3 ALIGN=MIDDLE  ALT=\"%28sqrt%281.25%29%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > =~ Vol*1.3975<BR>\n" );
document.write( "=~ 39.75% increase in volume<BR>\n" );
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