document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=292024>Question 292024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ball is placed snugly into the smallest possible box that will completely contain the ball. What percentage of the box is filled by the ball? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #211040 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=211040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the side of box be x\r<BR>\n" );
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document.write( "the volume of box will be x^3\r<BR>\n" );
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document.write( "The diameter of the ball will be x\r<BR>\n" );
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document.write( "so radius will be x/2\r<BR>\n" );
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document.write( "the volume of ball will be 4/3 * pi*(x/2)^3\r<BR>\n" );
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document.write( "= 4/3* pi*x^3/8\r<BR>\n" );
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document.write( "4/3*1/8 +pi*x^3\r<BR>\n" );
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document.write( "1/6 *pi^x^3\r<BR>\n" );
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document.write( "the ratio of the volume of ball to box will be \r<BR>\n" );
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document.write( "1/6 * pi* x^3  / x^3\r<BR>\n" );
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document.write( "=1/6*3.14 *100\r<BR>\n" );
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document.write( "52.33 % of the volume of box\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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