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JAMB Mathematics 2004 Question 38

Question 38

Differentiation

What is the rate of change of the volume v of a hemisphere with respect to its radius r when r = 2?

  1. A.2π
  2. B.4π
  3. C.8π
  4. D.16π
Show the answer and explanation

Answer: C (8π)

Explanation

v = (2/3)πr3, so dv/dr = 2πr2 = 8π when r = 2.