A cube of ice whose edges measure 21.0mm is floating in a glass of ice-cold wate

Question

A cube of ice whose edges measure 21.0mm is floating in a glass of ice-cold water with one of its facesparallel to the water's surface.
(a) How far below the water surface is the bottom face of theblock?
1 mm

(b) Ice-cold ethyl alcohol is gently poured onto the water'ssurface to form a layer 5.00 mm thickabove the water. The alcohol does not mix with the water. When theice cube again attains hydrostatic equilibrium, what will be thedistance from the top of the water to the bottom face of theblock?
2 mm

(c) Additional cold ethyl alcohol is poured onto the water'ssurface until the top surface of the alcohol coincides with the topsurface of the ice cube (in hydrostatic equilibrium). How thick isthe required layer of ethyl alcohol?
3 mm
(a) How far below the water surface is the bottom face of theblock?
1 mm

(b) Ice-cold ethyl alcohol is gently poured onto the water'ssurface to form a layer 5.00 mm thickabove the water. The alcohol does not mix with the water. When theice cube again attains hydrostatic equilibrium, what will be thedistance from the top of the water to the bottom face of theblock?
2 mm

(c) Additional cold ethyl alcohol is poured onto the water'ssurface until the top surface of the alcohol coincides with the topsurface of the ice cube (in hydrostatic equilibrium). How thick isthe required layer of ethyl alcohol?
3 mm

Explanation / Answer

(a) h =21*0.917=19.257 mm (b) h=19.257-0.806*5= 15.227 mm (c) h'=21*(1-0.917)/(1-0.806)˜8.98mm

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