Three solid spheres of iron whose diameters are 2cm, 12cm and 16cm, respectively, are melted into a single solid sphere. Find the radius of the solid sphere.

Explanation

To find the radius of the solid sphere formed by melting three solid spheres of iron with diameters of 2 cm, 12 cm, and 16 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Find the Radii of the Individual Spheres:**
- The radius \( r_1 \) of the first sphere (diameter = 2 cm) is:
\[
r_1 = \frac{d_1}{2} = \frac{2}{2} = 1 \text{ cm}
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