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the relative error in mass of a sphere is0.03 and relative e error in radius is 0.02. find the relative error and percentage error in surface area, volume,and density? |
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Answer» As density = volume mass
∴ρ= 4
πR 3
M
= 4 3
4πR 3
M
∴ The percentage error in density is ρ Δρ
×100% =( M ΔM
+3 R ΔR
)×100% =3% +3(2%)=3% +6% =9% |
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