document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=287582>Question 287582</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a ball and a cube have the same volume, what is the ratio between the surface areas of the ball and the cube? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #208414 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=208414\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a ball and a cube have the same volume, what is the ratio between the surface<BR>\n" );
document.write( " areas of the ball and the cube?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Choose a convenient value for the volume; 1000<BR>\n" );
document.write( "then<BR>\n" );
document.write( "side of cube = 10<BR>\n" );
document.write( "S.A. = 6(10^2)<BR>\n" );
document.write( "SA = 600 Sq/units; cube<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the radius<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"%284%2F3%29pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1000<BR>\n" );
document.write( "multiply both sides by 3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"4pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3(1000)<BR>\n" );
document.write( "r^3 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3000%2F%284%2Api%29 ALIGN=MIDDLE  ALT=\"3000%2F%284%2Api%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=238.732%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"238.732%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = 6.2<BR>\n" );
document.write( "Find the surface area<BR>\n" );
document.write( "SA = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Api%2A6.2%5E2 ALIGN=MIDDLE  ALT=\"4%2Api%2A6.2%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "SA = 483.6 sq/units; sphere<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Sphere/cube S.A. ratio: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=483.6%2F600 ALIGN=MIDDLE  ALT=\"483.6%2F600\"   DISABLED_style= \"max-width:90%; height:auto;\" > ~ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );