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 can follow these steps:

### Step 1: Calculate the volume of the sphere.
The formula for the volume \( V \) of a sphere is given by:
\[ V = \frac{4}{3} \pi r^3 \]
where \( r \) is the radius of the sphere. Here, the radius of the sphere is \( 4.2 \) cm.
...