A sphere of radius 6 cm is melted and made three small spheres of radius 3 cm, 4 cm and r cm respectively, the value of r is ....................

Explanation

To find the value of \( r \) when a sphere of radius 6 cm is melted to form three smaller spheres with radii 3 cm, 4 cm, and \( r \) cm, we can follow these steps:

### Step 1: Calculate the volume of the large sphere
The volume \( V \) of a sphere is given by the formula:
\[ V = \frac{4}{3} \pi r^3 \]
For the large sphere with radius 6 cm:
...