A cylinder has a radius of 7 cm and the area of its curved surface is 396 cm2 . The volume of the cylinder is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1386 cm3.
Radius = 7 cm, C.S.A = 396 cm2
C.S.A of cylinder = 2πRh
Volume of cylinder = πR2h
According to the question
396 = 2πRh
⇒ 198 = 22/7 × 7h
Solving for h we get, h = 9 cm
Substituting the values in the formula for volume
⇒ πR2h = 22/7 × 49 × 9 = 1386 cm3
Hence, the volume of the cylinder is 1386 cm3