This is a numerical-answer question. The correct answer is shown below.
[Solution by Dr. Abubacker] The excess pressure across the common surface is $4T\left(\frac1{r_1}-\frac1{r_2}\right)=\frac{4T}{r}$, so $r=\frac{r_1r_2}{r_2-r_1}=\frac{2\times4}{2}=4$ cm. Answer: 4.