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MHT CET202416 May 2024Evening 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 meters. 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. D4 ~m / min

Correct answer

B. 4 ~m / min

Step-by-step solution

aligned & dV dt =36 ~m ^3 / min , radius ( r )=3 ~m & Volume ( V )= r ^2 ~h & dV dt = r ^2 dh dt & 36= (3)^2 dh dt & dh dt = 4 ~m / min aligned

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