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 will follow these steps:

### Step 1: Calculate the radius of each sphere
The radius \( r \) of a sphere is half of its diameter.

- For the first sphere (diameter = 2 cm):
\[
r_1 = \frac{2}{2} = 1 \text{ cm}
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