Answer:
number of raindrops = 2.23 ×[tex]10^{18}[/tex]
Explanation:
given data
radius = 0.05 mm
rainfall = 5 mm
to find out
number of water droplets
solution
we know here Area of metropolitan (urban )Halifax
approx = 234.72 km²
= 234.72 ×[tex]10^{12}[/tex] mm²
and
Total volume of rainfall will be here
Total volume of rainfall = 5 × 234.72 ×[tex]10^{12}[/tex]
Total volume of rainfall = 1.17 ×[tex]10^{15}[/tex] mm³
and
Volume of each raindrop will be
Volume of each raindrop = [tex]\frac{4}{3} \pi r^3[/tex]
Volume of each raindrop = [tex]\frac{4}{3} \pi (0.05)^3[/tex]
Volume of each raindrop = 5.23 ×[tex]10^{-4}[/tex] mm³
so
number of raindrops for this volume of water is
number of raindrops = [tex]\frac{1.17*10^{15}}{5.23*10^{-4}}[/tex]
number of raindrops = 2.23 ×[tex]10^{18}[/tex]
