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WAEC Physics 2012 Objective — Question 2

Question 2 of 50 from the West African Examinations Council (WAEC) Physics 2012 Objective paper, with the correct answer and a full explanation.

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The density of a spherical ball of diameter d and mass m is given by

  • A. A. ρ = 3m/(4πd³)
  • B. B. ρ = 4πmd³
  • C. C. ρ = 6m/(πd³)Correct
  • D. D. ρ = 3m/(πdm³)

Explanation

Density = mass/volume. Volume of a sphere = (4/3)πr³ where r = d/2, so V = πd³/6. Therefore ρ = m / (πd³/6) = 6m/(πd³).

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