The radius of the base of a cylinder is 14 cm and its volume is 6160 cm3. The curved surface area (in cm2) is:
(Take )
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e 880.
Given:
Radius of cylinder = 14 cm
The volume of the cylinder = 6160 cm2
Formula used:
The curved surface area of the cylinder = 2πrh
The volume of the cylinder = πr2h
Where,
r = radius of the cylinder
h = height of the cylinder
Now,
Height of the cylinder
⇒ πr2h = 6160
⇒ 22/7 × 14 × 14 × h = 6160
⇒ h = 10 cm
The curved surface area of the cylinder = 2 × (22/7) × 14 × 10 = 880 cm3