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Find the diameter of cylinder, if the lateral surface area of a cylinder is 308 cm2 and it's height is 3.5 cm.
1. 5 cm
2. 28 cm
3. 14 cm
4. 7 cm

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Correct Answer - Option 2 : 28 cm

Given

Lateral surface area of cylinder = 308 cm2

Height of cylinder = 3.5 cm

Formula used

Lateral surface area of cylinder = 2πrh

Calculation

2πrh = 308

⇒ 2 × (22/7) × r × (3.5) = 308

⇒ r = (308 × 7)/(2 × 22 × 3.5)

⇒ r = 14 cm

Diameter of cylinder = 2 × radius

⇒ 2 × 14

⇒ 28 cm

∴ Diameter of cylinder is 28 cm

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