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  9. Q50

SSC GD Constable 2012 · Question 50 of 95

A solid spherical copper ball, whose diameter is 14 cm, is melted and converted into a wire having diameter equal to 14 cm. The length of the wire is

  1. A27 cm 16
  2. B3
  3. C15 cm 28
  4. D3Correct

Answer: D. 3

Explanation

Radius of spherical copper ball(r) = 7cm 4 Volume of sphere = 3 ∏ r3 Radius of Cylindrical wire(R) = 7cm Let length of wire be 'L' Volume of cylinder = ∏ R2 L Here Volume of sphere = Volume of sphere 4 3 ∏ r3 = ∏ R 2 L 4 3 × 7 × 7 × 7 = 7 ×7 ×L 28 ∴ Length of the wire 'L' = 3 cm

Source: Solved SSC GD 2012 Shift 1 Paper with Solutions — Testbook · reliable-secondary

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