Rain drops are almost spherical. Their diameters rarely exceed 6 mm. Calculate the number of
raindrops that would be required to fill a cylindrical can with volume 355 ml.
Diameter of a rain drop = 6 mm Radius of a rain drop = 6/2 mm = 3 mm Volume of a rain drop = (4/3) × pi × r^3 = (4/3) × (22/7) × 3 × 3 × 3 mm^3 = (4 × 22)/7 × 3 × 3 mm^3 = (88/7) × 9 mm^3 = 792/7 mm^3 = (792/7)/1000 ml = 792/7000 ml = 99/875 ml
No. of raindrops reqd. = Vol. of cylindrical can / vol. of a rain drop = 355/(99/875) = (355×875)/99 = 310625/99 = 3137.62 Therefore 3137.62 rain drops are reqd.
