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

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Surface area S=4πr2=4π(2.1)2=55.4cm2 S=4πr2=4π(2.1)2=55.4cm2 ⇒ΔS/S⇒ΔS/S=2Δr/r=2Δrr→ΔS=2Δr/r→ΔS=2Δr/rSS ⇒ΔS=2×0.5×55.42.1⇒ΔS=2×0.5×55.42.1=26.4cm2=26.4cm2 Its surface...
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Surface area S=4πr2=4π(2.1)2=55.4cm2       
S=4πr2=4π(2.1)2=55.4cm2
 
ΔS/S⇒ΔS/S=2Δr/r=2ΔrrΔS=2Δr/r→ΔS=2Δr/rSS
 
ΔS=2×0.5×55.42.1⇒ΔS=2×0.5×55.42.1=26.4cm2=26.4cm2
 
Its surface area with error ⇒S=55.4±26.4cm2
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