check out this thread ...
You have a perfectly spherical olive. You are going to stuff pimentos into the olive. You need to find an equation for the volume of the sphere in terms of the height of the hole.
the red area represents the hole the green area represents the olive.
I think it would be best to use coordinate plane to help.
Also, please realize that there still is olive in a donut like shape, not that the olive was split into two pieces