document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=764974>Question 764974</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (This is pre cal 11- chapter 2: absolute value and radicals)<BR>\n" );
document.write( "Earth approximates a sphere with radius 6370km.\r<BR>\n" );
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document.write( "a) The formula for the surface area of a sphere is : SA= 4&#960;rē <BR>\n" );
document.write( "To the nearest kilometer, determine the edge length of a cube with the same      surface area as Earth.\r<BR>\n" );
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document.write( "b) The formula for the volume of a sphere is: V=4/3&#960;rē<BR>\n" );
document.write( "To the nearest kilometer, determine the edge length of a cube with the same volume as Earth.\r<BR>\n" );
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document.write( "Thank you.<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 #465858 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=465858\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Earth approximates a sphere with radius 6370km. <BR>\n" );
document.write( "a) The formula for the surface area of a sphere is : SA= 4&#960;rē<BR>\n" );
document.write( "SA = 4pi*6370^2<BR>\n" );
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document.write( "To the nearest kilometer, determine the edge length of a cube with the same surface area as Earth.<BR>\n" );
document.write( "sa for a cube is 6e^2 where e is the edge length.<BR>\n" );
document.write( "Solve 6e^2 = 4pi*6370^2<BR>\n" );
document.write( "cube edge = sqrt[4pi*6370^2/6] = 6370*sqrt(2pi/3)<BR>\n" );
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document.write( "b) The formula for the volume of a sphere is: V=4/3&#960;rē<BR>\n" );
document.write( "V = (4/3)pi(6370)^3<BR>\n" );
document.write( "To the nearest kilometer, determine the edge length of a cube with the same volume as Earth.<BR>\n" );
document.write( "cube volume = e^3<BR>\n" );
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document.write( "Solve e^3 = (4/3)pi(6370)^3<BR>\n" );
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document.write( "cube edge = 6370*cbrt(4pi/3)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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