A system of three pistons in communicating vessels (Fig.) is in equilibrium under the action of three forces P1, P2, P3 (taking into account the weight of the pistons). The areas of the pistons are S1, S2, S3, respectively. Determine the heights h1 and h2 if P1 = 1300 N; P2 = 1000 N; P3 = 800 N; S1 = 0.4 m2; S2 = 0.6 m2; S3 = 0.9 m2; p = 1000 kg/m3; g = 10 m/s2.
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