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NEET2008PhysicsMathematics in PhysicsActual

If the error in the measurement of radius of a sphere is 2 % , then the error in the determination of volume of the sphere will be

Options

  1. A4 %
  2. B6 %
  3. C8 %
  4. D2 %

Correct answer

B. 6 %

Step-by-step solution

Percentage error in radius is given as 2% i.e. ( r r 100=2 % ) Volume of sphere (V= 4 ₂ 3 ) Percentage error in volume ( V V 100=3 r r 100=3 2=6 % )

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