document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125545>Question 1125545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sphere just fits inside a cube. What is the surface area of the sphere as a percentage of the surface area of the cube? Round your answer to the nearest whole percentage.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #741872 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=741872\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Surface area of a sphere = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%28pi%29r%5E2+ ALIGN=MIDDLE  ALT=\"+4%28pi%29r%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >   where r=radius<BR>\n" );
document.write( "Surface area of a cube = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6a%5E2+ ALIGN=MIDDLE  ALT=\"+6a%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >   where a=length of one side <br>\r<BR>\n" );
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document.write( "We need to relate r to a.  Since the sphere just touches the sides of the cube, a = 2r.\r<BR>\n" );
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document.write( "So now we can write   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%28pi%29r%5E2+%2F+6%282r%29%5E2+ ALIGN=MIDDLE  ALT=\"+4%28pi%29r%5E2+%2F+6%282r%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%28pi%29r%5E2+%2F+%2824r%5E2%29+ ALIGN=MIDDLE  ALT=\"+4%28pi%29r%5E2+%2F+%2824r%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+pi+%2F+6+ ALIGN=MIDDLE  ALT=\"+pi+%2F+6+\"   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=+pi%2F6+ ALIGN=MIDDLE  ALT=\"+pi%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is approximately 0.5236   so  we can write the sphere has a surface area that is about <b>52% </b> of the surface area of the cube.  </SPAN>\n" );
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