Volume of a sphere is 288 `picm^(3)` .27 small spheres can be formed with this sphee .find the radus of small sphere.

Explanation

To find the radius of the small sphere, we will follow these steps:

### Step 1: Write down the given information
The volume of the large sphere is given as \( V = 288 \pi \, \text{cm}^3 \). We also know that 27 small spheres can be formed from this large sphere.

### Step 2: Relate the volumes of the spheres
Since 27 small spheres can be formed from the large sphere, the total volume of the 27 small spheres is equal to the volume of the large sphere. Therefore, we can write:
\[
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