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Fluids Help please (Shouldn't Take Long)

A cube of 43.5 mm sides floats in water of 1,000 kg / m3 density.
(i) What is the density of the cube material if the depth of submersion is 24 mm?


(ii) A hemispherical (half of a sphere) scoop of 12.5 mm diameter is removed from the top surface face. What is the new depth of immersion? (volume of a sphere = 4πr3/3).

Any Help would be appreciated, I think I have to use Archimedes' Principle but not sure if that is possible due to no knowing the weight of the cube.

Thanks :smile:

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