A sphere and a cube have the same surface area. The ratio of the volume of the sphere to that of the cube is?

Let r be the radius of the sphere and a be the side of the cube
∴ 4π r² = 6a²
r = √6 a / 2√π
⇒ r³ = 6√6a³ / 8π√π
⇒ Ratio of volume = (4/3 πr³)/a³
∴ Required ratio = √6 / √π