The relative error in the determination of the surface area of a sphere is $\alpha $. Then the relative error in the determination of its volume is

  • [JEE MAIN 2018]
  • A

    $\frac{2}{3}\alpha $

  • B

    $\frac{5}{2}\alpha $

  • C

    $\frac{3}{2}\alpha $

  • D

    $\alpha $

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  • [JEE MAIN 2022]