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  9. Q64

SSC GD Constable 2021 · Question 64 of 377

When 154 lof oil is removed from an upright cylindrical tank, the level falls down by 10 cm. What is the diameter (in cm) of the tank? Take π = 22/7

trigonometry

  1. A220
  2. B140Correct
  3. C100
  4. D70

Answer: B. 140

Explanation

​ = 17500 700 ​ = 25 Given: Volume = 154 liters = 154000 cm 3 The level falls down by 10 cm Height, h = 10cm Formula used: The volume of a cylinder = π r 2h Diameter, d = 2r Calculation: The volume of a cylinder = π r 2 h 22 7 ⇒ 154000 = ​ × r 2 × 10 ⇒r2= 154000×7 = 4900 22×10 ⇒r= 4900 = 70 cm ​ ​ Diameter = 2r = 2 × 70 = 140 cm ∴ T he diameter of the tank is 140 cm.

Source: SSC GD Constable 2021 Prev. Year Paper (2021-11-30 Shift 1) English — Prepp (with solutions) · reliable-secondary

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