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