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The relative error in the determination of the surface area of a sphere is α. Then the relative error in the determination of its volume is:  
  • a)
    5/2 α
  • b)
    2/3 α
  • c)
    α
  • d)
    3/2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The relative error in the determination of the surface area of a spher...
The ratio of the absolute error to the actual surface area of the sphere. It is a measure of how accurate the calculated surface area is compared to the true surface area. The relative error is often expressed as a percentage.
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Community Answer
The relative error in the determination of the surface area of a spher...
Area of sphere (A) = 4πR2
taking log
ln A = In(4π) + 2In(R)
differentiating both sides



now, similarly

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