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What is the rate of change of the volume V of a hemisphere with respect to...

JAMB 2021

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

  • A.
  • B. 16π
  • C.
  • D.
Correct Answer: Option A
Explanation

\(V = \frac{2}{3} \pi r^{3}\)

\(\frac{\mathrm d V}{\mathrm d r} = 2\pi r^{2}\)

\(\frac{\mathrm d V}{\mathrm d r} (r = 2) = 2\pi (2)^{2}\)

= \(8\pi\)

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Explanation Video

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