What is the volume of a right circular cylinder whose curved surface area is 12 π cm2 and the circumference of its base is 4 π cm?
Answer & explanation
Correct answer: option 3
We know that,
Curved surface area = 2πrh
Circumference = 2πr
The volume of the cylinder = πr2h
We have,
The curved surface area of right circular cylinder = 12π cm2.
Circumference = 4π cm2.
So,
= 2 × πr = 4 × π
= r = 2 cm
Curved surface area = 12 × π
= 2 × πrh = 12 × π
= 2 × 2 × h = 12
= h = 3 cm.
Now,
The volume of the cylinder = πr2h
Volume = π × (2)2 × 3 = 12π cm3