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

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
  1. 32α
  2. 23α
  3. α
  4. 52α

Solution

Δss=2×Δrr⇒ΔVV=3×Δrr

∴   ΔVV  =  32  ΔssΔVV  =  32 α

Asked in: JEE Main 2018 (15 Apr)

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