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MHT CET20228 Aug 2022Morning ShiftMathematicsApplication of DerivativesActual

If the water is being poured at the rate 36 ~m ^3 / sec in cylindrical vessel of base radius 3 ~m , then the rate at which water level is rising, is

Options

  1. A4 m / sec
  2. B4 m / sec
  3. C4 ~m / sec
  4. D3 m / sec

Correct answer

A. 4 m / sec

Step-by-step solution

d v ~d t =36 ~m ^3 / sec and v= r^2 ~h = 3^2 ~h =9 h d v ~d t =9 d h ~d t 36=9 d h ~d t d h ~d t = 4 m / sec

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