document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150914>Question 150914</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the diameter of a sphere is doubled, its surface becomes<BR>\n" );
document.write( "A. doubled the orginal surface<BR>\n" );
document.write( "B.four times the orginal surface<BR>\n" );
document.write( "C.eight times the orginal surface<BR>\n" );
document.write( "D. three times the orginal surface<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110848 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=110848\">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=S=4pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"S=4pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Remember, the diameter is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=2r ALIGN=MIDDLE  ALT=\"d=2r\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So if the diameter is doubled, then the new radius is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2r ALIGN=MIDDLE  ALT=\"2r\"   DISABLED_style= \"max-width:90%; height:auto;\" > units (instead of \"r\" units)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=4pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"S=4pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=4pi%2A%282r%29%5E2 ALIGN=MIDDLE  ALT=\"S=4pi%2A%282r%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace the original \"r\" with \"2r\".\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=4pi%2A4r%5E2 ALIGN=MIDDLE  ALT=\"S=4pi%2A4r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square 2r to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4r%5E2 ALIGN=MIDDLE  ALT=\"4r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the old equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bold%5D=4pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"S%5Bold%5D=4pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the new one is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bnew%5D=4pi%2A4r%5E2 ALIGN=MIDDLE  ALT=\"S%5Bnew%5D=4pi%2A4r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The ratio of the new surface area to the old surface area is then:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bnew%5D%2FS%5Bold%5D=%284pi%2A4r%5E2%29%2F%284pi%2Ar%5E2%29 ALIGN=MIDDLE  ALT=\"S%5Bnew%5D%2FS%5Bold%5D=%284pi%2A4r%5E2%29%2F%284pi%2Ar%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bnew%5D%2FS%5Bold%5D=%28highlight%284pi%29%2A4highlight%28r%5E2%29%29%2F%28highlight%284pi%29%2Ahighlight%28r%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bnew%5D%2FS%5Bold%5D=%28cross%284pi%29%2A4cross%28r%5E2%29%29%2F%28cross%284pi%29%2Across%28r%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bnew%5D%2FS%5Bold%5D=4 ALIGN=MIDDLE  ALT=\"S%5Bnew%5D%2FS%5Bold%5D=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the new surface area is simply 4 times the original surface area. So the answer is B </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );