Ex 6.1, 12 - Radius of an air bubble is increasing at 1/2 cm/s - Ex 6.1

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  1. Chapter 6 Class 12 Application of Derivatives
  2. Serial order wise
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Ex 6.1,12 The radius of an air bubble is increasing at the rate of 1 2 cm/s. At what rate is the volume of the bubble increasing when the radius is 1 cm? Let r be the radius of air bubble Given = 1 2 cm/s The Bubble is a sphere Volume of bubble = volume of sphere = 4 3 3 we need to find the rate at which volume of the bubble is increasing when radius is 1 cm i.e. at = 1 cm = 4 3 3 = 4 3 3 = 4 3 3 = 4 3 3 2 = 4 2 1 2 = 2 2 = 2 When radius is 1cm = 2 1 2 = 2 Since volume is in cm3 & time is in sec So = 2 cm3/sec Hence, volume is increasing at rate of 2 cm3/sec when radius = 1cm

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Davneet Singh
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.