document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=305002>Question 305002</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have been working on this math problem and i can't seem to figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!\r<BR>\n" );
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document.write( "Four solid metal balls fit snugly inside a cylindrical can. A geometry student claims that two extra balls of the same size can be put into the can, provided all six balls can be melted and the molten liquid poured into the can. Is the student correct? (hint: let the radius of each ball be r.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #218426 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=218426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Four solid metal balls fit snugly inside a cylindrical can. <BR>\n" );
document.write( "A geometry student claims that two extra balls of the same size can be put into the can, provided all six balls can be melted and the molten liquid poured into the can. <BR>\n" );
document.write( "Is the student correct? (hint: let the radius of each ball be r.)<BR>\n" );
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document.write( "Volume of the can:<BR>\n" );
document.write( "Vc = (pi)r^2*h<BR>\n" );
document.write( "Note: h = 8r<BR>\n" );
document.write( "Vc = (pi)r^2*(8r)<BR>\n" );
document.write( "Vc = (8pi)r^3<BR>\n" );
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document.write( "Volume of the 4 balls:<BR>\n" );
document.write( "4Vb = 4(4/3)(pi)r^3<BR>\n" );
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document.write( "Volume remaining when only 4 balls are in the can:<BR>\n" );
document.write( "(8pi)r^3 - (16/3)(pi)r^3<BR>\n" );
document.write( "= (8-(16)3))(pi)r^3<BR>\n" );
document.write( "= (8/3)(pi)r^3<BR>\n" );
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document.write( "Can volume of 2 balls fit into that remaining space?<BR>\n" );
document.write( "[(8/3)(pi)r^3]/[(4/3)(pi)r^3] = 2<BR>\n" );
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document.write( "Answer: Yes<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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