I Like Bubbles!!

Two spherical soap bubbles made of same liquid solutions are carefully pressed against each other. It is observed that their intersection results in a newer sphere along their common surface AB. the radius of lager bubble is "b" and that of smaller bubble is "a". Find the radius of the common surface (in cm). You make take surface tension of liquid solution as "T".

$$\textbf{NOTE -}$$

$$\textbf{a= 4 cm}$$

$$\textbf{b= 5 cm}$$

$$\textbf{T= 50 mN/metre}$$

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