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The buoyant force depends upon volume, but not shape of a body. It's because we can imagine integrating the pressures on every imaginary element inside the body, and this pressure acts upwards. Hence on integrating, we get V(Rho)g. However else can we derive that buoyant force = V(Rho)g ? But the force on each element can be thought of being exerted by each neighbouring element. Hence, pressure force is just a surface force. The agent of this force is ultimately the weight of the fluid above