Centroid of 3D Body

The centroid of 3D Body is determined by the first moment of a three dimensional body with the method of the first moment of volume.

Centroids of Shapes

1. Centroid of Hemisphere

   Volume of Hemisphere:

   

   Coordinate x of centroid by integration.

   

   Coordinate x of centroid

   

   Similarly, coordinates y and z of centroid by symmetry.

   
2. Centroid of Semi-Ellipsoid solid

   Volume of Semi-Ellipsoid Solid:

   

   Coordinate x of centroid by integration.

   

   Coordinate x of centroid

   

   Similarly, coordinates y and z of centroid by symmetry.

   
3. Centroid of Semi-Paraboloid Solid

   Volume of Semi-Paraboloid Solid:

   

   Coordinate x of centroid by integration.

   

   Coordinate x of centroid

   

   Similarly, coordinates y and z of centroid by symmetry.

   
4. Centroid of Cone

   Volume of Cone:

   

   Coordinate x of centroid by integration.

   

   Coordinate x of centroid

   

   Similarly, coordinates y and z of centroid by symmetry.

   
5. Centroid of Pyramid

   Volume of Pyramid:

   

   Coordinate x of centroid by integration.

   

   Coordinate x of centroid

   

   Similarly, coordinates y and z of centroid by symmetry.