The radius of the base of a cylinder is 14 cm and its curved surface area is 880 cm2. Its volume (in cm3) is: (Тakе $π=\frac{22}{7}$)
Answer & explanation
Correct answer: option 3
We know that,
The curved surface area of cylinder = 2πrh
The volume of cylinder = πr2h
We have,
Radius of cylinder = 14 cm
The curved surface area = 880 cm2
According to the question,
= 2πrh = 880
= 2 × \(\frac{22}{7}\) × 14 × h = 880
= h = 10 cm
Now, the volume of the cylinder = \(\frac{22}{7}\) × (14)2 × 10 = 6160 cm3