Question 37

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Jambmaths question: 

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

Option A: 

12π

Option B: 

4π

Option C: 

24π

Option D: 

8π

Jamb Maths Solution: 

$\begin{align}  & v=\tfrac{4}{3}\pi {{r}^{3}} \\ & \frac{dv}{dr}=4\pi {{r}^{2}} \\ & \text{when }r=1 \\ & \frac{dv}{dr}=4\pi {{(1)}^{2}}=4\pi  \\\end{align}$

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