Height and curved surface area of the cylinder is 10 cm and 440 cm2 respectively. Diameter of the cylinder is: 

  1. 14 cm
  2. 21 cm
  3. 42 cm
  4. 7 cm

Answer (Detailed Solution Below)

Option 1 : 14 cm
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Detailed Solution

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Given:

Height of cylinder = 10 cm

Curved surface area of cylinder = 440 cm2

Formula:

Curved surface area of cylinder = 2πrh

Calculation:

According to the question

2πrh = 440

⇒ 2 × (22/7) × r × 10 = 440

⇒ r = 440 × (7/440)

⇒ r = 7 cm

∴ Diameter of cylinder is = 2 × 7 = 14 cm 

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