document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=831365>Question 831365</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. <BR>\n" );
document.write( "What percent of the volume (space) of the box that remains and needs to be filled with the packing material? <BR>\n" );
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 #501444 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=501444\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The bowling ball fits tightly into a box that is a cube.<BR>\n" );
document.write( " Sarah would like to fill the extra space in the box with foam packing material.<BR>\n" );
document.write( "What percent of the volume (space) of the box that remains and needs to be filled with the packing material? <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let s = the side of the box<BR>\n" );
document.write( "then<BR>\n" );
document.write( "s^3 = the volume of the box<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Since the ball fits tightly we can say the length of the side = diameter of the ball<BR>\n" );
document.write( "radius = .5s<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A%28.5s%29%5E3 ALIGN=MIDDLE  ALT=\"pi%2A%28.5s%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the volume of the ball<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A.125s%5E3 ALIGN=MIDDLE  ALT=\"pi%2A.125s%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the volume of the ball<BR>\n" );
document.write( "We can write it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A.167s%5E3 ALIGN=MIDDLE  ALT=\"pi%2A.167s%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "the volume of the packing material = vol of the box - vol of the ball <BR>\n" );
document.write( "Then the percent packing material would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28s%5E3-%28pi%2A.167s%5E3%29%29%2Fs%5E3 ALIGN=MIDDLE  ALT=\"%28s%5E3-%28pi%2A.167s%5E3%29%29%2Fs%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 100 =<BR>\n" );
document.write( "Cancel out s^3 mult by 100<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+-+%28.3167%2Api%29 ALIGN=MIDDLE  ALT=\"1+-+%28.3167%2Api%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 100 = 47.6% packing material<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );