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  9. Q56

SSC MTS & Havaldar 2014 · Question 56 of 82

A spherical ball of lead of radius 14 cm is melted and recast into spheres of radius 2 cm. The number of the small spheres is

  1. A300
  2. B525
  3. C343Correct
  4. D450

Answer: C. 343

Explanation

Radius of large spherical ball = R = 14 cm and radius of small spheres = r = 2 cm 4 3 3 πR 4 πr3 => Number of balls = Volume of large ball/Volume of small sphere = 3 (14)3 14 = (2)3 = ( 2 ) 3 = (7)3 = 343

Source: Solved SSC MTS 23 February 2014 Shift 1 Paper with Solutions · reliable-secondary

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