A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

Explanation

To find the height of the cylinder formed by melting a metallic sphere, we will use the principle that the volume of the sphere will be equal to the volume of the cylinder.

### Step-by-Step Solution:

1. **Find the Volume of the Sphere:**
The formula for the volume of a sphere is given by:
\[
V_{\text{sphere}} = \frac{4}{3} \pi r^3
...