A sphere and a cube has same surface area.Show that the ratio of the volume of sphere to cube is `sqrt6:sqrtpi`

Explanation

To solve the problem, we need to show that the ratio of the volume of a sphere to the volume of a cube is \(\sqrt{6} : \sqrt{\pi}\) given that both have the same surface area.

### Step-by-step Solution:

1. **Surface Area of Sphere and Cube**:
- The surface area \(A\) of a sphere is given by the formula:
\[
A_{\text{sphere}} = 4\pi r^2
...