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JAMB Mathematics 2001 Question 36

Question 36

Differentiation

Find the rate of change of the volume v of a sphere with respect to its radius r when r = 1.

  1. A.4π
  2. B.8π
  3. C.12π
  4. D.24π
Show the answer and explanation

Answer: A (4π)

Explanation

v = (4/3)πr3, so dv/dr = 4πr2. At r = 1 this is 4π.