document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1019491>Question 1019491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the length of the diagonal of the largest cube that can be cut from a right circular cylinder of radius r and height r ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636212 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=636212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's first solve for the largest square that can be cut from a circle of radius r.<BR>\n" );
document.write( "The diameter of the circle becomes the diagonal of the square so you can solve for the side of the square since the diagonal is (using the Pythagorean theorem),<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5Bs%5D=sqrt%282%29%2As ALIGN=MIDDLE  ALT=\"D%5Bs%5D=sqrt%282%29%2As\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2r=sqrt%282%29%2As ALIGN=MIDDLE  ALT=\"2r=sqrt%282%29%2As\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=%282r%29%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"s=%282r%29%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2=%284r%5E2%29%2F2=2r%5E2 ALIGN=MIDDLE  ALT=\"s%5E2=%284r%5E2%29%2F2=2r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So to make a cube, use that same distance s. <BR>\n" );
document.write( "So a diagonal for a cube of side s would be,<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5Bc%5D=sqrt%283%29%2As ALIGN=MIDDLE  ALT=\"D%5Bc%5D=sqrt%283%29%2As\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5Bc%5D=sqrt%283%29%28%282r%29%2Fsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"D%5Bc%5D=sqrt%283%29%28%282r%29%2Fsqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5Bc%5D=sqrt%286%29%2Ar ALIGN=MIDDLE  ALT=\"D%5Bc%5D=sqrt%286%29%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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