Pappus's centroid theorem

Pappus's centroid theorem (also known as the Guldinus theorem, Pappus-Guldinus theorem or Pappu's theorem) is the name of two related theorems dealing with the surface areas and volumes of surfaces and solids of revolution.

The second theorem

The second theorem states that the volume V of a solid of revolution generated by rotating a plane figure F about an external axis is equal to the product of the area A of F and the distance d2 traveled by its geometric centroid.

Related Topics:
Volume - Solid of revolution - Plane figure

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

:V = Ad_2.,

~ ~ ~ ~ ~ ~ ~ ~ ~ ~