MapleVolEx2.mws

>    with(plots):

Warning, the name changecoords has been redefined

>    surface:=plot3d(x^2+2*y^2,x=-sqrt(12)..sqrt(12),y=-sqrt(6-x^2/2)..sqrt(6-x^2/2),axes=boxed,labels=[x,y,z]):

>    top:=plot3d(8,x=-sqrt(12)..sqrt(12),y=-sqrt(6-x^2/2)..sqrt(6-x^2/2),color=blue):

>    bottom:=plot3d(2,x=-sqrt(12)..sqrt(12),y=-sqrt(6-x^2/2)..sqrt(6-x^2/2),color=green):

>    display(surface,top,bottom);

[Maple Plot]

>    display(surface,top,bottom);

[Maple Plot]

I changed the view above manually by grabbing it with my mouse.  I could have changed the view setting.

>    Volume:=int(Pi*z/sqrt(2),z=2..8);

Volume := 15*Pi*2^(1/2)

>