document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=443127>Question 443127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sphere and a cube have same volume. Find the ratio of the lenght of the side of the cube to the radius of the sphere. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305692 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As you know the volume of the sphere with radius r is:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B1%5D=%284%2F3%29%28pi%29r%5E3 ALIGN=MIDDLE  ALT=\"V%5B1%5D=%284%2F3%29%28pi%29r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and\r<BR>\n" );
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document.write( "the volume of the cube with length a is:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B2%5D=a%5E3 ALIGN=MIDDLE  ALT=\"V%5B2%5D=a%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "To find the ratio <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fr ALIGN=MIDDLE  ALT=\"a%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B2%5D=V%5B1%5D ALIGN=MIDDLE  ALT=\"V%5B2%5D=V%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, substituting:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3=%284%2F3%29%28pi%29r%5E3 ALIGN=MIDDLE  ALT=\"a%5E3=%284%2F3%29%28pi%29r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3%2Fr%5E3=4%2A%28pi%29%2F3 ALIGN=MIDDLE  ALT=\"a%5E3%2Fr%5E3=4%2A%28pi%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Fr%29%5E3=4%2A%28pi%29%2F3 ALIGN=MIDDLE  ALT=\"%28a%2Fr%29%5E3=4%2A%28pi%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and,\r<BR>\n" );
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document.write( "a/r=cubed root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%28pi%29%2F3 ALIGN=MIDDLE  ALT=\"4%2A%28pi%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fr=%284%2A%28pi%29%2F3%29%5E%281%2F3%29=1.66 ALIGN=MIDDLE  ALT=\"a%2Fr=%284%2A%28pi%29%2F3%29%5E%281%2F3%29=1.66\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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