Find the rate of change of volume V of a hemisp... - JAMB Mathematics 2021 Question
Find the rate of change of volume V of a hemisphere with respect to its radius r, when r = 2
A
8π
B
2π
C
16π
D
4π
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Correct Option: A
\(V = \frac{2}{3} \pi r^{3}\)
\(\frac{\mathrm d V}{\mathrm d r} = 2\pi r^{2}\)
\(\frac{\mathrm d V}{\mathrm d r} (r = 2) = 2\pi (2)^{2}\)
= \(8\pi\)
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