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What is the error in measurement of the volume of a sphere if an error in measurement of its radius is 1 % ?

Options

  1. A1%
  2. B1 2 %
  3. C3%
  4. DNone of these

Correct answer

C. 3%

Step-by-step solution

V = 4 3 π R 3 , So percentage error in volume is ∆ V V × 100 = 3 ∆ R R × 100 = 3   %

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