document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=763127>Question 763127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a conical vessel 11cm high having a top of 50 mm diameter is filled completely to its rim with water. some spherical pellets, each of 5 mm diameter are dropped into the vessel & then 2/5 of the water overflows.how many lead pallets were dropped in the vessel? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464597 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=464597\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Volume of Conical vessel = 1/3*Pi*r^2*h<BR>\n" );
document.write( "50mm = 5.0cm<BR>\n" );
document.write( "            Volume = 1/3 * Pi * 2.5^2 * 11<BR>\n" );
document.write( "            Volume = 71.995cm^3<BR>\n" );
document.write( "Volume of a sphere = 4/3*Pi*r^3<BR>\n" );
document.write( "                   = 4/3*Pi*0.25^3<BR>\n" );
document.write( "                   = 0.0654cm^3\r<BR>\n" );
document.write( "\n" );
document.write( "2/5 of the water overflows.<BR>\n" );
document.write( "2/5 * 71.995cm^3 overflows<BR>\n" );
document.write( "=21.798cm^3 overflows.\r<BR>\n" );
document.write( "\n" );
document.write( "so x * 0.0654 = 21.798<BR>\n" );
document.write( "           x = 21.798/0.0654<BR>\n" );
document.write( "           x = 333.3<BR>\n" );
document.write( "So 333 spherical pellets were dropped in the vessel.<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( ":-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );