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MHT CET202211 Aug 2022Morning ShiftMathematicsApplication of DerivativesActual

The radius of right circular cylinder increase at the rate 0.1 ~cm / min and height decreases at the rate of 0 2 ~cm / min The rate of change of volume of the cylinder in cm ^3 / min , when the radius is 2 ~cm and height is 3 ~cm , is

Options

  1. A-2 pm ^3 / min
  2. B-3 5 ~cm ^3 / min
  3. C-8 5 ~cm ^3 / min
  4. D2 5 ~cm ^3 / min

Correct answer

D. 2 5 ~cm ^3 / min

Step-by-step solution

aligned & V=p r^2 h & d v ~d t = 2 r d r ~d t h+r^2 d h ~d t & = 2 2 0 1 3+2^2 (-0 2) & = 1 2-0 8 =0 4 = 2 5 ~cm ^3 / min aligned

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