If the surface areas of a cube and a sphere are equal, then their volume ratio?

If the surface areas of a cube and a sphere are equal, then their volume ratio?

Equal area: 6A & # 178; = 4 π R & # 178;
a:R=√(2π/3)
Volume ratio: A & # 179;: (4 / 3) π R & # 179; = √ (6 π) / 6