A cylinder has a diameter of 14 cm, and its curved surface area is 220 cm2 . The volume of the cylinder is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 770cm2.
We know, that the curved surface area of cylinder is = 2πrh
and Volume of Cylinder is = πr2h
Thus we can write the volume as:-
⇒ πrh × r
⇒ 2πrh × r/2
⇒ C.S.A × r/2
We have diameter = 14cm
Thus, radius = 7cm
thus Volume = C.S.A × 7/2
⇒ (220)(7/2)
⇒ 770
Thus, the volume of the cylinder is 770 cm2.