document.write( "Question 310726: A cone of radius 8 and a slant height of 12 is cut off by a plane parallel to its base and half the distance to its apex. Find the volume of the solid between the plane and the base. \n" ); document.write( "
Algebra.Com's Answer #222214 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"r=8\"
\n" ); document.write( "\"SH=12\"
\n" ); document.write( "\"H%5E2%2Br%5E2=%28SH%29%5E2\"
\n" ); document.write( "\"H%5E2%2B8%5E2=12%5E2\"
\n" ); document.write( "\"H%5E2=144-64=80\"
\n" ); document.write( "\"H=sqrt%2880%29=4sqrt%285%29\"
\n" ); document.write( "When the plane cuts the cone, the radius is reduced by (1/2), the height is reduced by (1/2).
\n" ); document.write( "\"Rnew=%281%2F2%298=4\"
\n" ); document.write( "\"Hnew=%281%2F2%294sqrt%285%29=2sqrt%285%29\"
\n" ); document.write( "\"V=pi%2Ar%5E2%2AH\"
\n" ); document.write( "\"V=pi%2A4%5E2%2A2sqrt%285%29=32sqrt%285%29pi\"
\n" ); document.write( "
\n" ); document.write( "
\n" );