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

Question

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, 3 2 α, 2 3 α, α, 5 2 α

MARKS App · Accepted Answer

Δ s s = 2 × Δ r r Δ V V = 3 × Δ r r ∴ Δ v v = 3 2 Δ s s Δ v v = 3 2 α

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