How to find out the height of the ellipsoidal water droplet at the center, when its volume and contact angle with the substrate is given. (Ignoring the evaporation of water droplet with time)
In general and based on Tanner's Law: h(t) ≈ r(t).tan(thetaDx(t)), where, h is the hight of droplet.
!!! Recalling V=(Pi/4).r3.thetaDx, where, V is the droplet's volume, r is the droplet's spreading radius and thetaDx is the contact angle of the droplet.
You may also want to have a look at the following paper: Article An experimental and numerical study of droplet spreading and...
also,
John Bush. 18.357 Interfacial Phenomena. Fall 2010. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: Creative Commons BY-NC-SA.