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The relative error in the determination of the surface area of a sphere is α . The relative error in the determination of its volume is

Options

  1. A3 2 α
  2. B2 3 α
  3. Cα
  4. D5 2 α

Correct answer

A. 3 2 α

Step-by-step solution

Δ s s = 2 × Δ r r ⇒ Δ V V = 3 × Δ r r ∴      Δ V V    =    3 2    Δ s s Δ V V     =     3 2   α

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