document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=987995>Question 987995</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ball with a volume of 250 centimetres cubed is placed in a box. The box is shaped like a cube and the ball is touching the centre of each face of the cube (on the inside). Calculate the volume of empty space inside the cube </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #608709 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=608709\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A ball with a volume of 250 centimetres cubed is placed in a box.<BR>\n" );
document.write( " The box is shaped like a cube and the ball is touching the centre of each face of the cube (on the inside).<BR>\n" );
document.write( " Calculate the volume of empty space inside the cube.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the radius of the ball using the volume formula<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%2Ar%5E3 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 250<BR>\n" );
document.write( "multiply both sides by 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Api%2Ar%5E3 ALIGN=MIDDLE  ALT=\"4%2Api%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 750<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E3 ALIGN=MIDDLE  ALT=\"r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=750%2F%284%2Api%29 ALIGN=MIDDLE  ALT=\"750%2F%284%2Api%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E3 ALIGN=MIDDLE  ALT=\"r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 59.6831<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=59.6831%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"59.6831%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = 3.908 cm is radius<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2(3.908) = 7.816 cm is the diameter, this is also the length of the side of the box<BR>\n" );
document.write( "7.816^3 = 477.465 cu/cm is the volume of the box<BR>\n" );
document.write( ":<BR>\n" );
document.write( "477.465 - 250 = 227.465 cu/cm is the empty space around the ball in the box <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );