document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=321274>Question 321274</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many times does the volume of a sphere increases if the radius is \r<BR>\n" );
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document.write( "1) double   2)half </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230080 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=230080\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The volume of a sphere is given by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%284%2F3%29pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"V+=+%284%2F3%29pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Where r = radius.<BR>\n" );
document.write( "1) Let's what happens when you double the radius:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%284%2F3%29pi%2A%282r%29%5E3 ALIGN=MIDDLE  ALT=\"V+=+%284%2F3%29pi%2A%282r%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%284%2F3%29pi%2A%288r%5E3%29 ALIGN=MIDDLE  ALT=\"V+=+%284%2F3%29pi%2A%288r%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Move the 8 to the front.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+8%284%2F3%29pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"V+=+8%284%2F3%29pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >...and you can see that the volume V is 8 times the original volume.<BR>\n" );
document.write( "2) ...and if we divide the radius by 2...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%284%2F3%29pi%28r%2F2%29%5E3 ALIGN=MIDDLE  ALT=\"V+=+%284%2F3%29pi%28r%2F2%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%284%2F3%29pi%28r%5E3%2F8%29 ALIGN=MIDDLE  ALT=\"V+=+%284%2F3%29pi%28r%5E3%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%281%2F8%29%284%2F3%29pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"V+=+%281%2F8%29%284%2F3%29pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...so the volume is decreased by a factor of 8. </SPAN>\n" );
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