Last updated at Aug. 9, 2021 by Teachoo

Transcript

Misc. 19 A cylindrical tank of radius 10 m is being filled with wheat at the rate of 314 cubic meter per hour. Then the depth of the wheat is increasing at the rate of (A) 1 m /h (B) 0.1 m/h (C) 1.1 m/h (D) 0.5 m/hLet r be the radius of cylindrical tank & V be the volume of cylindrical tank & h be the depth of the cylindrical tank Given that cylindrical tank of radius 10 m being filled with wheat at the rate of 314 cubic meter per hour i.e. Change if volume of tank is 314 m3/hr. when r = 10 i.e. ๐ ๐ฝ/๐ ๐ = 314 m3/hr. when r = 10 We need to find at what rate depth is increasing i.e. we need to find ๐ ๐/๐ ๐ Now, ๐๐/๐๐ก = 314 (๐ (๐๐^2 โ))/๐๐ก = 314 (๐(๐(102)โ))/๐๐ก = 314 (๐(100๐โ))/๐๐ก = 314 100๐ ๐ ๐/๐ ๐ = 314 ๐โ/๐๐ก = 314/100๐ ๐โ/๐๐ก = 314/(100 ร 3.14) ๐โ/๐๐ก = 314/314 ๐โ/๐๐ก = 1 Since depth is in meter & time is in hr So, ๐ ๐/๐ ๐ = 1 m/hr. So, A is the correct answer.

Miscellaneous

Misc 1 (a)
Deleted for CBSE Board 2022 Exams

Misc 1 (b) Important Deleted for CBSE Board 2022 Exams

Misc 2 Important

Misc 3 Important

Misc 4

Misc 5 Important

Misc 6 Important

Misc 7

Misc 8 Important

Misc 9 Important

Misc 10

Misc 11 Important

Misc 12 Important

Misc 13 Important

Misc 14 Important

Misc 15 Important

Misc 16

Misc 17 Important

Misc 18 Important

Misc. 19 (MCQ) Deleted for CBSE Board 2022 Exams You are here

Misc 20 (MCQ) Important

Misc 21 (MCQ) Important

Misc 22 (MCQ)

Misc. 23 (MCQ) Important

Misc 24 (MCQ) Important

Chapter 6 Class 12 Application of Derivatives (Term 1)

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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.