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abhi2003DG:
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The radius is measured with an error of 2%
ie,
(Δr/r) × 100 = 2% ---------(1)
Since volume of a sphere
V = 4π/3r³
ΔV/V = (3)×(Δr/r)
Multiplying both sides with 100
ΔV/V ×100 = (3)×(Δr/r)×100
ΔV/V ×100 = 2×3% [From equation (1)]
∴ Percentage error in volume is
6%
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