A solid ball is floating at a boundary between water and mercury, with $40\%$ of the ball volume in water. Ball diameter is $1$ m$,$ water density is $1000$ kg$/$m$3$ and mercury density is $13560$ kg$/$m$3.$ What is the density of the ball? Round off the answer to an integer in kg$/$m$3,$ but enter the answer without the unit.  

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To find the density of the ball we can use the principle of flotation which states that the weight of the fluid displaced by the ball is equal to the ... View the full answer