Correct Answer - Option 1 : 4851 cm

^{3}
**Given:**

Surface area of sphere = 1386 cm^{2}

**Concept used:**

Mensuration

**Calculation:**

Surface area of sphere = 4 π r^{2}

⇒ 4 π r^{2} = 1386

⇒ 4 × 22/7 × r^{2} = 1386

⇒ r^{2} = \(\frac{{9\ ×\ {7^2}}}{4}\)

⇒ r = 21/2

Volume sphere = \(\frac{4}{3}\pi {r^3}\)

Volume = \(\frac{4}{3} × \frac{{22}}{7} × \frac{{441}}{4} × \frac{{21}}{2}\)

Volume = 441 × 22/2

Volume = 4851 cm^{3}