document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=264316>Question 264316</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sphere and a cube have the same volume. What is the ratio of the diameter of the sphere to the edge length of the cube ? Express answer as a decimal to the nearest hundredth. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854007 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53742)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854007\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A sphere and a cube have the same volume. What is the ratio of the diameter of the sphere to the edge length <BR>\n" );
document.write( "of the cube ? Express answer as a decimal to the nearest hundredth.<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The post by @mananth does not have an answer to the problem's question: it does not provide the ratio D/L.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Also, the given calculations are not accurate.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;So, I came to give a complete and accurate solution and the answer.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=VOL%5Bsphere%5D ALIGN=MIDDLE  ALT=\"VOL%5Bsphere%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%2Api%2A%281%2F2%2AD%29%5E3 ALIGN=MIDDLE  ALT=\"%284%2F3%29%2Api%2A%281%2F2%2AD%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=VOL+%5Bcube%5D ALIGN=MIDDLE  ALT=\"VOL+%5Bcube%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  L^3\r<BR>\n" );
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document.write( "We equate the volumes  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=VOL%5Bsphere%5D ALIGN=MIDDLE  ALT=\"VOL%5Bsphere%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=VOL%5Bcube%5D ALIGN=MIDDLE  ALT=\"VOL%5Bcube%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "   &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29%2Api%2A%281%2F2%2AD%29%5E3 ALIGN=MIDDLE  ALT=\"%284%2F3%29%2Api%2A%281%2F2%2AD%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E3 ALIGN=MIDDLE  ALT=\"L%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From this equality, we get \r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E3%2FL%5E3 ALIGN=MIDDLE  ALT=\"D%5E3%2FL%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2A7%2A8%29%2F%2822%2A4%29 ALIGN=MIDDLE  ALT=\"%283%2A7%2A8%29%2F%2822%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.909090909...\r<BR>\n" );
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document.write( "From here\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%2FL ALIGN=MIDDLE  ALT=\"D%2FL\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C1.909090909%29 ALIGN=MIDDLE  ALT=\"root%283%2C1.909090909%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.240534566...\r<BR>\n" );
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document.write( "Now I round this decimal, &nbsp;and I get  &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%2FL ALIGN=MIDDLE  ALT=\"D%2FL\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.24.  &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U><BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "Looking at many posts by @mananth, I see that this person is unfamiliar <BR>\n" );
document.write( "with the notion and the conception of accurate calculations.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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