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?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 12π cm3
Given:
Curved surface area is 12 π cm2
circumference of its base is 4 π cm
Volume of cylinder = πr2h
Formula used:
Curved surface of cylinder = 2πrh
Circumference of the base = 2πr
Calculations:
Curved surface of cylinder = 2πrh
⇒ 12π = 2πrh
⇒ rh = 6
Now, Circumference of the base = 2πr
⇒ 4π = 2πr
⇒ r = 2 and h = 3
Volume of cylinder = π(2)2 × 3 = 12π