Hemispherical profile:
The ball is a truncated portion of a plane is called spherical segment.
Is called a bottom surface of the spherical segment-section, perpendicular to the diameter of the cross section is cut after high under the long line is called spherical segment.
Area (spherical cap area) of the spherical cap curved portion \ (S = 2πRH \)
Spherical segment volume formula \ (V = ([pi] /. 3) * (3R-H) * H ^ 2 \) (R & lt sphere radius, H is a high spherical segment).
Spherical segment centroid:
Homogeneous spherical segment centroid is in its central axis, and the distance from the bottom surface is:
Known: sphere radius R, hemispherical high H.
We can get volume spherical segment as follows:
If high spherical segment H, cross-sectional diameter D, then