A sphere and a hemisphere have the same surface area. The ratio of their volumes is?

According to the question,
Surface area of sphere = Surface area of hemisphere
4πr₁² =3πr₂²
⇒ r₁/r₂ = √3/2
∴ Ratio in volume = [(4/3)πr₁³] / [(4/3)πr₂³]
= 3√3/8 : 1