Curved surface area of a cylinder is 308 cm2, and height is 14 cm. What will be the volume of the cylinder?

  1. 439 cm3
  2. 385 cm3
  3. 539 cm3
  4. 529 cm3

Answer (Detailed Solution Below)

Option 3 : 539 cm3
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Detailed Solution

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Given:

Curved surface area of cylinder = 308 cm2

Height = 14 cm

Formula used:

CSA (Curved surface area) = 2πrh

Volume = πr2h

Where r is radius and h is height

Calculation:

CSA = 2πrh

308 = 2 × (22/7) × r × 14

⇒ 308 = 88r

⇒ r = 7/2 = 3.5 cm

Volume = πr2h

⇒ Volume = (22/7) × (3.5)2 × 14

⇒ Volume = 539 cm3 

∴ Volume of the cylinder is 539 cm3

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