The curved surface area of a cylinder, whose height is 10 cm, is 1320 cm2 What is the volume of this cylinder?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e 0.01368 m3
The curved surface area of a cylinder, whose height is 10 cm, is 1320 cm². curved surface area of a cylinder = 2 x T x radius x height
13202 = 2 x 22/7 x radius x 10
3 =1/7 x radius
radius = 21 cm
The volume of this cylinder = π x (radius)2 x height
= 22/7 × (21)2 × 10
= 22/7 × 441 × 10
= 22 x 63 x 10
= 13860 cm³
Now we need to convert 'cm' into 'm'.
1m = 100 cm
= 13860/(100 × 100 × 100) m3
= 0.013860 m³