r1r_1r1 = 4.5cm , P1P_1P1 =is the total pressure on the bubble at a depth of 12m from the surface.
V2V_2V2 = 43πr23\frac{4}{3} \pi r_{2}^{3}34πr23
from boyles law:
P1V1P_1V_1P1V1 = P2V2P_2V_2P2V2 ⇒ 22.34× 43×π×4.53\frac{4}{3} \times \pi \times 4.5^{3}34×π×4.53 = 10.34 × 43×π×r23\frac{4}{3} \times \pi \times r_{2}^{3}34×π×r23⇒ 22.34 × 4.534.5^{3}4.53 = 10.34 × r23r_{2}^{3}r23⇒ r23=196.883r_{2}^{3} = \sqrt[3]{196.88}r23=3196.88