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MHT CET202120 Sep 2021Evening ShiftMathematicsApplication of DerivativesActual

Water is being poured at the rate of 36 ~m ^3 / min . into a cylindrical vessel, whose circular base is of radius 3 ~m . then the water level in the cylinder is rising at the rate of

Options

  1. A4 m / min
  2. B4 m / min
  3. C1 4 m / min
  4. D2 m / min

Correct answer

A. 4 m / min

Step-by-step solution

Volume of cylinder = r ^2 ~h aligned & dv dt = r ^2 dh dt & 36= (3)^2 dh dt dh dt = 4 m / min aligned

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