This article is rated C-class on Wikipedia's content assessment scale. It is of interest to the following WikiProjects:

Mathematics Low‑priority This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.MathematicsWikipedia:WikiProject MathematicsTemplate:WikiProject Mathematicsmathematics articles Low This article has been rated as Low-priority on the project's priority scale.

The following types of Ungula would enhance this article: cylindrical ungula, conical ungula, hyperboloid ungula. The cylindrical ungula can be see illustrated on page 145 of the Baron reference. The diagram at spherical wedge, the spherical ungula, is another type. — Rgdboer ( talk) 21:28, 28 December 2015 (UTC) reply

The volume of a pyramid (geometry) is bh/3 where b is the area of the base and h is the height. The following edit was removed as inappropriate:

If the slice swept by area ${\displaystyle A(\theta )}$ by an angle ${\displaystyle d\theta }$ is sufficiently close in shape to a pyramid (which is the case for the cylinder and the cone), then the volume of the ungula is

${\displaystyle V=\int _{0}^{\pi }{2 \over 3}A(\theta )\ \rho \ d\theta .}$

Volume integrals of the type in this article, depending on an area cross-section are standard. — Rgdboer ( talk) 00:02, 16 February 2019 (UTC) reply