Water level change for melting ice cube

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SUMMARY

The discussion centers on the physics of water level changes when an ice cube melts in a container. Key variables include the volume of the cavity (Va), density (Di), volume of the cube (Vo), surface area of the container (A), height of the liquid column (h), and the volume of the immersed part of the cube (Vi). The conclusion is that the water level will remain the same when the ice melts, as the weight of the displaced water equals the weight of the ice cube while floating. The buoyant force acting on the cube is equal to its weight, confirming that the water level does not change.

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kumarakrishnavaleti
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Homework Statement


http://imgur.com/Sk6YkIf .
You can take Va to be volume of cavity and Di to be density and Vo to be volume of cube and A to be surface area of container and h to be height of liquid column and Vi to be volume of immerser part of cube. Prove if water level will rise or will remain same will decrease when ice melts ?

Homework Equations


weight= buoyant force as cube is floating
 
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kumarakrishnavaleti said:

Homework Statement


http://imgur.com/Sk6YkIf .
You can take Va to be volume of cavity and Di to be density and Vo to be volume of cube and A to be surface area of container and h to be height of liquid column and Vi to be volume of immerser part of cube. Prove if water level will rise or will remain same will decrease when ice melts ?

Homework Equations


weight= buoyant force as cube is floating
I am not able to view the image.
 
physics.png
 
Still very unclear. Try describing the set up in words, and stating the problem exactly.
 
Calculate the weight of Vi (the water the ice cube is displacing).
 

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