Question 14

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Jambmaths question: 

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

Option A: 

Option B: 

16π

Option C: 

Option D: 

Jamb Maths Solution: 

$\begin{align}  & Vol\text{ of hemisphere }=2\pi {{r}^{3}} \\ & \frac{dV}{dr}=2\pi {{r}^{2}} \\ & \text{when }r=2 \\ & \frac{dV}{dr}\left| _{r=2} \right.=2\pi {{(2)}^{2}}=16\pi  \\\end{align}$

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