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# Explaining buoyancy

Buoyancy is the force exerted by a fluid on an object opposing the weight of the object.

The origin of buoyancy is the difference in pressure at different depths. The depth influences the pressure at a given point of an object according to $P=\rho gh$.

The top and bottom of a submerged sphere (located at $h_1$ and $h_2$ respectively) will be subject to different pressures: \begin{align*}P_1=\rho gh_1 \quad& \quad P_2=\rho gh_2\\ h_{1}&\lt h_{2}\\\therefore P_{1}&\lt P_{2}\end{align*}

This difference in pressure results in an upward force on the ball, known as the buoyant force.

The upthrust is due to the difference in pressure at different heights.