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

Respuesta :

The radius of the Raindrop is,

[tex]R=2.5\text{ mm}[/tex]

The radius of the cloud droplet is,

[tex]\frac{R}{6100}[/tex]

The ratio of their volume is,

[tex]\begin{gathered} \frac{V_r}{V_c}=\frac{R^3}{R^3}\times6100^3^{} \\ =2.27\times10^{11} \end{gathered}[/tex]

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