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MHT CET202122 Sep 2021Morning ShiftMathematicsApplication of DerivativesActual

A spherical snow ball is forming so that its volume is increasing at the rate of 8 ~cm ^3 / sec . Find the rate of increase of radius when radius is 2 ~cm

Options

  1. Acm / sec
  2. B1 8 cm / sec
  3. C2 cm / sec
  4. D1 2 cm / sec

Correct answer

D. 1 2 cm / sec

Step-by-step solution

V = 4 3 r ^3 dV dt = 4 3 (3 r ^2 ) dr dt =4 r ^2 dr dt 8=4 (2)^2 dr dt dr dt = 1 2

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