Question

The radius of the base of a cylinder of a cylinder is 14 cm and its volume is 6160 cm³. The curved surface area (in cm²) is:

(take π = 22/7)

1. 880
2. 778
3. 940
4. 660

Answer 1

Correct Answer - Option 1 : 880

Given:

Radius = 14 cm

Volume = 6160 cm³

Formula used:

(i) Volume of cylinder = π × r² × h

(ii) Curved surface area = 2 × π × r × h

Calculations:

Volume = π × r² × h

⇒ 6160 = (22/7) × (14)² × h

⇒ h = (6160 × 7)/(22 × 196)

⇒ h = 10 cm

Curved surface area = 2 × π × r × h

⇒ 2 × (22/7) × 14 × 10

⇒ 2 × 22 × 2 × 10

⇒ 880 cm²

∴ The curved surface area is 880 cm²