document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=593550>Question 593550</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sphere is inscribed in a cube whose surface area is thirty six inches squared. Determine the surface area of the sphere. Determine the volume of the sphere<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 #376385 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=376385\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A sphere is inscribed in a cube whose surface area is thirty six inches squared. Determine the surface area of the sphere.<BR>\n" );
document.write( " Determine the volume of the sphere<BR>\n" );
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document.write( "Let x = side of the square<BR>\n" );
document.write( "S.A.: 6x^2 = 36<BR>\n" );
document.write( "x^2 = 36/6<BR>\n" );
document.write( "x^2 = 6<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%286%29 ALIGN=MIDDLE  ALT=\"sqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the side of the cube<BR>\n" );
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document.write( "Find the hypotenuse (h) of one side<BR>\n" );
document.write( "h^2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28sqrt%286%29%29%5E2 ALIGN=MIDDLE  ALT=\"2%28sqrt%286%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h^2 = 2 * 6<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2812%29 ALIGN=MIDDLE  ALT=\"sqrt%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Find the diagonal, distance between opposite corners of the cube, this is also the diameter of the sphere<BR>\n" );
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document.write( "d^2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%286%29%29%5E2+%2B+%28sqrt%2812%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%286%29%29%5E2+%2B+%28sqrt%2812%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d^2 = 6 + 12<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2818%29 ALIGN=MIDDLE  ALT=\"sqrt%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, also the diameter,<BR>\n" );
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document.write( "The S.A. of sphere = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ad%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ad%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "S.A. = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A%28sqrt%2818%29%29%5E2 ALIGN=MIDDLE  ALT=\"pi%2A%28sqrt%2818%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "S.A. = 18pi or 56.55 sq/inches \r<BR>\n" );
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