# Ex 6.4,6 - Chapter 6 Class 12 Application of Derivatives (Term 1)

Last updated at April 15, 2021 by Teachoo

Last updated at April 15, 2021 by Teachoo

Transcript

Ex 6.4, 6 If the radius of a sphere is measured as 7 m with an error of 0.02 m, then find the approximate error in calculating its volume.Let r be the radius of the sphere Given r = 7 m Error in measurement of radius = โr โr = 0.02 m Volume of the sphere = V = 4/3 ๐๐^3 We need to find error in calculating the volume that is โv โV = ๐๐ฃ/๐๐ ร โr = ๐(4/3 ๐๐^3 )/๐๐ ร โr = 4/3 ๐ (๐(๐^3))/๐๐รโr = 4/3 ๐ (3๐^2) ร (0.02) = 4๐r2 ร 0.02 = 4๐ (7)2 (0.02) = 3.92๐ hence, the approximate error is 3.92 ๐ m3

Ex 6.4

Ex 6.4, 1 (i)
Important
Deleted for CBSE Board 2022 Exams

Ex 6.4, 1 (ii) Deleted for CBSE Board 2022 Exams

Ex 6.4, 1 (iii) Deleted for CBSE Board 2022 Exams

Ex 6.4, 1 (iv) Deleted for CBSE Board 2022 Exams

Ex 6.4, 1 (v) Important Deleted for CBSE Board 2022 Exams

Ex 6.4, 1 (vi) Deleted for CBSE Board 2022 Exams

Ex 6.4, 1 (vii) Deleted for CBSE Board 2022 Exams

Ex 6.4, 1 (viii) Deleted for CBSE Board 2022 Exams

Ex 6.4, 1 (ix) Deleted for CBSE Board 2022 Exams

Ex 6.4, 1 (x) Deleted for CBSE Board 2022 Exams

Ex 6.4, 1 (xi) Important Deleted for CBSE Board 2022 Exams

Ex 6.4, 1 (xii) Deleted for CBSE Board 2022 Exams

Ex 6.4, 1 (xiii) Deleted for CBSE Board 2022 Exams

Ex 6.4, 1 (xiv) Important Deleted for CBSE Board 2022 Exams

Ex 6.4, 1 (xv) Deleted for CBSE Board 2022 Exams

Ex 6.4,2 Deleted for CBSE Board 2022 Exams

Ex 6.4,3 Important Deleted for CBSE Board 2022 Exams

Ex 6.4,4 Deleted for CBSE Board 2022 Exams

Ex 6.4,5 Important Deleted for CBSE Board 2022 Exams

Ex 6.4,6 Deleted for CBSE Board 2022 Exams You are here

Ex 6.4,7 Deleted for CBSE Board 2022 Exams

Ex 6.4,8 (MCQ) Important Deleted for CBSE Board 2022 Exams

Ex 6.4,9 (MCQ) Deleted for CBSE Board 2022 Exams

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.