document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178422>Question 1178422</A>: <I><SPAN STYLE=\"word-break: break-all;\"> spherical balls 1.5 cm in diameter are packed in a box measuring 6 cm by 3 cm by 3 cm. if as many balls as possible are packed in the box, how much free space remains in the box? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #807666 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=807666\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The response from tutor @MathLover1 is absurd -- unless the spherical balls are silly putty or some similar infinitely malleable material.<br><BR>\n" );
document.write( "Assuming the spheres remain as spheres when packed into the box, the dimensions of the box and the diameter of the spheres make the array of balls 4 by 2 by 2, for a total of 4*2*2=16 balls.<br><BR>\n" );
document.write( "The amount of free space in the box is then the volume of the box, minus the volume of 16 spheres of diameter 1.5 cm.<br><BR>\n" );
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