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JAMB Mathematics 2025 Objective — Question 21

Question 21 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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The rate of change of the volume of a sphere with respect to its radius when r=3 is:

  • A. 12π
  • B. 36πCorrect
  • C.
  • D.

Explanation

V=(4/3)πr³, dV/dr=4πr². At r=3, dV/dr=4π(9)=36π.

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