Given,

Curved surface area of the sphere = 5544 cm³

Let the radius of the sphere = r

As we know,

Curved surface area of the sphere = 4πr²

So,

⇒ 4πr² = 5544

⇒ r² = 441

⇒ r = √441

⇒ r = 21 cm

Now,

Volume of the sphere = 4/3πr³

= 4/3 × 22/7 × 21 × 21 × 21

= 38808 cm³

So,

The volume of the sphere is 38808 cm³.