document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=831364>Question 831364</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sarah buys her friend, Alyssa, a birthday present. She decides to mail her a bowling ball. The bowling ball fits tightly into a box that is a cube. Sarah would like to fill the extra space in the box with foam packing material. \r<BR>\n" );
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document.write( "What percent of the volume (space) of the box that remains and needs to be filled with the packing material?\r<BR>\n" );
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document.write( "*I don't know how to start this problem. The problem doesn't state the radius or diameter. Any help is greatly appreciated* </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #501398 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=501398\">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 ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" >=radius of .<BR>\n" );
document.write( "Since the ball fits tightly in the cube shaped box, the inside of the box must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2R ALIGN=MIDDLE  ALT=\"2R\"   DISABLED_style= \"max-width:90%; height:auto;\" > wide.<BR>\n" );
document.write( "Volume of the ball =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29pi%2AR%5E3 ALIGN=MIDDLE  ALT=\"%284%2F3%29pi%2AR%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Volume inside the box =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282R%29%5E3=8R%5E3 ALIGN=MIDDLE  ALT=\"%282R%29%5E3=8R%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The volume that needs to be filled with packing material is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8R%5E3-%284%2F3%29pi%2AR%5E3=%288-4pi%2F3%29R%5E3 ALIGN=MIDDLE  ALT=\"8R%5E3-%284%2F3%29pi%2AR%5E3=%288-4pi%2F3%29R%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "As a fraction of the volume inside the box that is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288-4pi%2F3%29R%5E3%2F8R%5E3=%288-4pi%2F3%29%2F8=1-pi%2F6 ALIGN=MIDDLE  ALT=\"%288-4pi%2F3%29R%5E3%2F8R%5E3=%288-4pi%2F3%29%2F8=1-pi%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That is approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4764 ALIGN=MIDDLE  ALT=\"0.4764\"   DISABLED_style= \"max-width:90%; height:auto;\" > , which is 47.64%.<BR>\n" );
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document.write( "It does not matter what size ball you fit tightly into a cube box, about 48% of the box will be empty space. </SPAN>\n" );
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