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(a) In the last question find the angle ...

(a) In the last question find the angle between the tangents drawn to the bubble surfaces at point A.
(b) In the above question assume that `r_(1) = r_(2) = r`. What is the shape of the common interface ACB? Find length AB in this case.
(c) With `r_(1) = r_(2) = r` the common wall bursts and the two bubbles form a single bubble find the radius of this new bubble. It is given that volume of a truncated sphere of radius R and height y is `pi/3 y ^(2) (3R -y)` [see figure]

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