Find the percentage error in surface area and volume of sphere if percentage error in radius of sphere is 7%
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studys305:
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Δr/r*100=7%
SA=4πr²
V=4/3πr³
ΔSA/SA=2Δr/r
multiplying both sides by 100
ΔSA/SA*100=2Δr/r*100
=2*7
=14%
ΔV/V=3Δr/r
multiplying both sides by 100
ΔV/V*100=3Δr/r*100
=3*7
=21%
Hope this helps
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