A hollow spherical iron shell floats almost completely submerged in water. The outer diameter is 50.0 cm, and the density of iron is `7.87 g//cm^(3)` Find the inner diameter.

Explanation

To solve the problem of finding the inner diameter of a hollow spherical iron shell that floats almost completely submerged in water, we can follow these steps:

### Step 1: Understand the Problem
The hollow spherical shell is floating in water, which means that the weight of the shell is equal to the buoyant force acting on it. The buoyant force is equal to the weight of the water displaced by the submerged part of the shell.

### Step 2: Given Data
- Outer diameter of the shell, \( D_o = 50.0 \, \text{cm} \)
- Outer radius, \( R_o = \frac{D_o}{2} = 25.0 \, \text{cm} \)
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