document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=766564>Question 766564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a sphere has a surface area of 64 p.i. find the surface area of the largest cube contained in 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 #467022 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=467022\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a sphere has a surface area of 64 p.i. find the surface area of the largest cube contained in the sphere <BR>\n" );
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document.write( "SA = 4*pi*r^2 = 64<BR>\n" );
document.write( "r^2 = 16pi<BR>\n" );
document.write( "r = 4sqrt(pi)<BR>\n" );
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document.write( "Diagonal of the cube = 8*sqrt(pi)<BR>\n" );
document.write( "Diagonal of the base of the cube = (8sqrt(pi))/sqrt(2) = 8sqrt(pi/2)<BR>\n" );
document.write( "Edge of the cube = (8sqrt(pi/2))/sqrt(2) = 8sqrt(pi/4) = 4sqrt(pi)<BR>\n" );
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document.write( "Surface area of the cube = 6(4sqrt(pi))^2 = 6(16pi) = 96pi sq units<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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