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The volume of a piece of ice is 3000 cm³. When that ice is kept on water, what portion of ice remains above water surface? Calculate.

(The density of ice is 0.9 gm/cm³)
What volume of ice is inside the water?​

User NVRM
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The volume of a piece of ice is 3000 cm³. When that ice is kept

To determine the portion of the ice that remains above the water surface and the volume of ice inside the water, we need to consider the principles of buoyancy.

The buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. In this case, the volume of water displaced by the submerged portion of the ice will be equal to the volume of ice inside the water.

Given:

Volume of ice = 3000 cm³

Density of ice = 0.9 g/cm³

To find the portion of ice that remains above the water surface, we need to calculate the volume of ice submerged in water.

Calculate the mass of the ice:

Mass = Density × Volume

Mass = 0.9 g/cm³ × 3000 cm³

Mass = 2700 grams or 2.7 kg

Calculate the volume of water displaced (submerged portion):

Volume of water displaced = Volume of ice = 3000 cm³

Therefore, the volume of ice inside the water is 3000 cm³.

To find the portion of ice that remains above the water surface, we need to subtract the volume of ice inside the water from the total volume of the ice:

Portion above water surface = Total volume of ice - Volume of ice inside water

Portion above water surface = 3000 cm³ - 3000 cm³

Portion above water surface = 0 cm³

Hence, in this scenario, the entire volume of the ice (3000 cm³) is submerged in the water, and there is no portion remaining above the water surface.

User Ahmkara
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