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  9. Q47

SSC GD Constable 2021 · Question 47 of 377

The curved surface area of a cylinder is 96 cm 2 and its volume is 672 cm 3. Its diameter is:

mensuration

  1. A32 cm
  2. B26 cm
  3. C24 cm
  4. D28 cmCorrect

Answer: D. 28 cm

Explanation

Given: The curved surface area of the cylinder = 96 cm 2 The volume of the cylinder = 672 cm 3 Formula used: Volume of cylinder = πr 2h Curved surface area of cylinder = 2πrh Diameter = 2 × radius Calculation: Here, πr 2h = 672 -----(1) And 2πrh = 96 -----(2) Dividing (1) by (2) we get, ⇒ r/2 = 7 ⇒ r = 14 ⇒ Diameter = 2 × 14 = 28 ∴ The correct answer is 28 cm.

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

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