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JAMB Mathematics 2023 Objective — Question 39

Question 39 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2023 Objective paper, with the correct answer and a full explanation.

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The radius r of a cylinder disc is increasing at the rate of 0.5cm/s. At what rate is the area of the disc increasing when its radius is 6cm?

  • A. 36πcm²/s
  • B. 3πcm²/s
  • C. 18πcm²/s
  • D. 6πcm²/sCorrect

Explanation

A=πr², dA/dt=2πr(dr/dt)=2π(6)(0.5)=6πcm²/s.

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