Inicially we have to separate the sphere into 3 parts:
The donut + 1 ball cap (or a dome) + the cylinder hole = the Hemisphere
<em>vide picture</em>
As it shows in the picture we have to find the donut.
The donut = the Hemisphere - (
1 dome + the cylinder hole)
The hemisphere = (from the hemisphere formula)
1 dome* =
cylinder hole = (h:
cylinder height)
By basic algebra we have
D = 5.304
*The dome in the 1st picture is represented by the color orange.Looking into the second picture, the dome formula derivatives from the volume of a dome of a hemisphere. By using the following linear system: