
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Approximations (using Differentiation)
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Approximations (using Differentiation)
Last updated at May 29, 2023 by Teachoo
Question 7 If the radius of a sphere is measured as 9 m with an error of 0.03 m, then find the approximate error in calculating its surface area.Let r be the radius of the sphere Given r = 9 m Error in measurement of radius = βπ βπ = 0.03 m Surface area of the sphere = S = 4ππ^2 We need to find the error in calculating the surface area β S β S = ππ /ππΓβ"r" = (π("4" ππ^2))/ππΓβ"r" = "4" π (π(π^2))/ππΓβ"r" = 8πr Γ 0.03 = 8π(9) (0.03) = 2.16π hence the approximate error is 2.16π m2