Example 25 - If radius of a sphere is 9 cm with error 0.03 cm - Finding approximate value- Statement questions

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Example 25 If the radius of a sphere is measured as 9 cm with an error of 0.03 cm, then find the approximate error in calculating its volume. Let r be the radius of the sphere Given r = 9 cm Error in measurement of radius = r r = 0.03 cm Volume of the sphere = V = 4 3 3 We need to find error in calculating the volume i.e V V = r = 4 3 3 r V = 4 3 3 r V = 4 3 3 2 0.03 = 4 2 (0.03) = 4 (9)2 (0.03) = 9.72 cm3 Hence, approximately error in calculating the volume is 9.72 cm3

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.