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:
8π
Option B:
16π
Option C:
2π
Option D:
4π
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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