Surface tension of a water bubble

When we heat water in a vessel, air bubbles are formed at the bottom. These bubbles detach from the base and rise.

Take the bubbles to be spheres of radius \(R\) and making a circular contact of radius \(r\) with the bottom of the vessel. If \(r < < R\), and the surface tension of water is \(T\).

If the density of water is \(\rho\), find the value of \(r\) just before the bubbles detach.

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