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MHT CET202124 Sep 2021Morning ShiftMathematicsApplication of DerivativesActual

The radius of a circular plate is increasing at the rate of 0.01 cm / sec , when the radius is 12 ~cm . Then the rate at which the area increases is

Options

  1. A60 sq. cm / sec
  2. B0.24 sq. cm / sec
  3. C1.2 sq. cm / sec
  4. D24 sq. cm / sec

Correct answer

B. 0.24 sq. cm / sec

Step-by-step solution

We have dr dt =0.01 aligned & A = r ^2 & dA dt = (2 r ) dr dt =(2 )(12)(0.01)=0.24 sq cm / sec aligned

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