The radius of a sphere is measured to be (2.1±0.5)cm. Calculate its surface area with error limits.

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(51.4±26.4)cm2

(55.4±26.4)cm2

(65.4±26.4)cm2

(23.4±26.4)cm2

answer is B.

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Detailed Solution

S=4πr2=4π(2.1)2=55.4 cm2ΔSS=2×ΔrrΔS=2×Δrr×S=2×0.52.1×55.4=26.4 cm2(S±ΔS)=(55.4±26.4)cm2

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