Please show both methods or the question will be marked wrong.

Consider the problem of a droplet of liquid with density $\backslash$rho and dynamic viscosity $\backslash$mu formed at the bottom tip of a capillary tube of diameter d$.$ The droplet volume $($V$)$ grows larger and larger until its weight exceeds the balancing force of surface tension $($unit: N$/$m$),$ at which point it breaks away from the tip. The flow speed in the tube is u and the gravitational constant is g$.$ Analyze this problem using $(1)$ Buckingham PI theorem and $(2)$ method of scales to determine the correlation between the non$-$dimensional droplet volume and the other key non$-$dimensional parameters governing the dynamics of the detachment.