document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=833495>Question 833495</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a pile of water pipes is stacked with 4 along bottom, then 3, the 2 then 1. (from the side it looks like a pyramid)  If the diameter of each pipe is 6 cm, then the height of the stack, in cm, is:  <BR>\n" );
document.write( "a)6+18 sqrt3<BR>\n" );
document.write( "b) 9 sqrt3<BR>\n" );
document.write( "c) 15<BR>\n" );
document.write( "d) 12+9 sqrt3<BR>\n" );
document.write( "e) 6+ 9 sqrt 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #502621 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=502621\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-1.5%2C8.5%2C-3%2C7%2C%0D%0Acircle%280%2C0%2C1%29%2Ccircle%282%2C0%2C1%29%2C%0D%0Acircle%284%2C0%2C1%29%2Ccircle%286%2C0%2C1%29%2C%0D%0Acircle%281%2C1.732%2C1%29%2Ccircle%283%2C1.732%2C1%29%2C%0D%0Acircle%285%2C1.732%2C1%29%2C%0D%0Acircle%284%2C3.464%2C1%29%2Ccircle%282%2C3.464%2C1%29%2C%0D%0Acircle%283%2C5.196%2C1%29%2Cgreen%28triangle%283%2C5.196%2C0%2C0%2C6%2C0%29%29%2C%0D%0Aline%28-1.5%2C-1%2C8.5%2C-1%29%2Cred%28arrow%282.4%2C-1.5%2C0%2C-1.5%29%29%2C%0D%0Ared%28arrow%283.6%2C-1.5%2C6%2C-1.5%29%29%2Clocate%282.5%2C-1.3%2C18cm%29%2C%0D%0Ared%28arrow%286%2C0%2C6%2C-1%29%29%2Cred%28arrow%286%2C-1%2C6%2C0%29%29%2Clocate%286.1%2C-0.3%2C3cm%29%2C%0D%0Ared%28arrow%283%2C5.196%2C3%2C6.196%29%29%2Cred%28arrow%283%2C6.196%2C3%2C5.196%29%29%2Clocate%283.1%2C5.9%2C3cm%29%2C%0D%0Ared%28arrow%286.5%2C2.1%2C6.5%2C0%29%29%2Cred%28arrow%286.5%2C3.1%2C6.5%2C5.196%29%29%2Clocate%286.2%2C2.9%2C9sqrt%283%29cm%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > The green triangle is an equilateral triangle.<BR>\n" );
document.write( "Its sides measure <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A%286cm%29=18cm ALIGN=MIDDLE  ALT=\"3%2A%286cm%29=18cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The height of an equilateral triangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=side%2Asin%2860%5Eo%29=side%2A%28sqrt%283%29%2F2%29 ALIGN=MIDDLE  ALT=\"side%2Asin%2860%5Eo%29=side%2A%28sqrt%283%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The height of the green triangle is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2818cm%29%2A%28sqrt%283%29%2F2%29=9sqrt%283%29cm ALIGN=MIDDLE  ALT=\"%2818cm%29%2A%28sqrt%283%29%2F2%29=9sqrt%283%29cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "THe radius of the pipes is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6cm%2F2=3cm ALIGN=MIDDLE  ALT=\"6cm%2F2=3cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the pile's height includes:<BR>\n" );
document.write( "a radius of the pipes in the bottom row (below the green triangle), plus<BR>\n" );
document.write( "a radius of the top pipe (above the green triangle).<BR>\n" );
document.write( "So the total height is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3cm%2B9sqrt%283%29cm%2B3cm=highlight%286%2B9sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"3cm%2B9sqrt%283%29cm%2B3cm=highlight%286%2B9sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm ALIGN=MIDDLE  ALT=\"cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );