Dimensional Analysis Questions

A balloon is made of a material of surface tension $S$ and its inflation outlet (from where gas is filled in it) has small area $A$. It is filled with a gas of density $\rho$ and takes a spherical shape of radius $R$. When the gas is allowed to flow freely out of it, its radius $r$ changes from $R$ to $0$ (zero) in time $T$. If the speed $v(r)$ of gas coming out of the balloon depends on $r$ as $r^{\alpha }$ and $T\propto S^a{A}^{\beta }{\rho }^{\gamma }{R}^{\delta }$ then:

If force ($F$), velocity ($V$) and time ($T$) are taken as fundamental units, then the dimensions of mass are:

If dimensions of critical velocity $v_c$ of a liquid flowing through a tube are expressed as $[{\eta }^x{\rho }^y{r}^z]$, where $\eta ,\rho$ and $r$ are the coefficient of viscosity, density of liquid and radius of the tube respectively, then the values of $x,y$ and $z$ are: