Question

6. A large raindrop (2500 um = 2.5 mm radius) is 6 100 times the radius of a typical cloud droplet (25 um). How many times greater is its volume? I

Answer 1

The radius of the Raindrop is,

$R=2.5\text{ mm}$

The radius of the cloud droplet is,

$\frac{R}{6100}$

The ratio of their volume is,

$\begin{gathered} \frac{V_r}{V_c}=\frac{R^3}{R^3}\times6100^3^{} \\ =2.27\times10^{11} \end{gathered}$

so the raindrop is 2.27*10^11 times greater in volume.