document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199865>Question 1199865</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A right circular cone is inside a cube. The base of the cone is inscribed in one face of the cube and its vertex in the opposite face. Express the volume of the region between the cone and the cube in terms of s where s denotes the length of the edge of the cube.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833839 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=833839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A right circular cone is inside a cube. The base of the cone is inscribed in one face of the cube and its vertex in the opposite face.<BR>\n" );
document.write( " Express the volume of the region between the cone and the cube in terms of s where s denotes the length of the edge of the cube. <BR>\n" );
document.write( ":<BR>\n" );
document.write( "We know: s^3 = vol of cube; also s = the height of the cube; .5s = the radius<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A%28.5s%29%5E2+%2A+s ALIGN=MIDDLE  ALT=\"pi%2A%28.5s%29%5E2+%2A+s\"   DISABLED_style= \"max-width:90%; height:auto;\" > the volume of the cube<BR>\n" );
document.write( "which is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A.25s%5E2+%2A+s ALIGN=MIDDLE  ALT=\"pi%2A.25s%5E2+%2A+s\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A.25s%5E3 ALIGN=MIDDLE  ALT=\"pi%2A.25s%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "Cube vol - cone vol = region outside the cone, inside the cube<BR>\n" );
document.write( "V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E3 ALIGN=MIDDLE  ALT=\"s%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > - (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A.25s%5E3 ALIGN=MIDDLE  ALT=\"pi%2A.25s%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "^ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );