Density of ice is `900 kg//m^(3)`. A piece of ice is floating in water of density `1000kg//m^(3)`. Find the fraction of volume of the picec of ice outside the water.

Explanation

To find the fraction of the volume of a piece of ice that is floating outside the water, we can follow these steps:

### Step 1: Understand the Problem
We have a piece of ice floating in water. The density of ice is given as \( \rho_i = 900 \, \text{kg/m}^3 \) and the density of water is \( \rho_w = 1000 \, \text{kg/m}^3 \). We need to find the fraction of the volume of the ice that is above the water.

### Step 2: Set Up the Equilibrium Condition
For an object floating in a fluid, the weight of the object is equal to the buoyant force acting on it. This can be expressed as:
\[
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