1. Chapter 6 Class 12 Application of Derivatives
  2. Serial order wise
  3. Ex 6.4

Ex 6.4,7 - Chapter 6 Class 12 Application of Derivatives

Last updated at Dec. 8, 2016 by

Check Full Chapter Explained - Continuity and Differentiability - Application of Derivatives (AOD) Class 12

Ex 6.4, 7 - Find approx error in calculating surface area sphere - Ex 6.4

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  1. Chapter 6 Class 12 Application of Derivatives
  2. Serial order wise

    3. Ex 6.4

    Ex 6.5 →

Transcript

Ex 6.4,7 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 = ∆𝑟 ∆𝑟 = 0.03 m Surface area of the sphere = S = 4𝜋 𝑟﷮2﷯ We need to find the error in calculating the surface area ∆ S ∆ S = 𝑑𝑠﷮𝑑𝑟﷯×∆r = 𝑑(4𝜋 𝑟﷮2﷯)﷮𝑑𝑟﷯×∆r = 4𝜋 𝑑( 𝑟﷮2﷯)﷮𝑑𝑟﷯×∆r = 8𝜋r × 0.03 = 8𝜋(9) (0.03) = 2.16𝜋 hence the approximate error is 2.16𝝅 m2

Chapter 6 Class 12 Application of Derivatives
Serial order wise

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