The radius of a sphere is measured as (10 ± 0.02%)cm . The error in the measurement of its volume is

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2.51cc

251.2cc

25.1cc

25.12cc

answer is C.

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Detailed Solution

$\begin{array}{l} V = \frac{4}{3} {πr}^{3} \Rightarrow \frac{Δv}{v} \times 100 = 3 \frac{Δr}{r} \times 100 \\ Δv = 3 \times \frac{Δr}{r} \times v \end{array}$

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