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.
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Given,
The diameter of the raindrops = 6 mm
The volume of the can = 355 ml
To find,
The number of raindrops needed to fill the can.
Solution,
The radius of the spherical raindrops
= 6/2
= 3 mm
The volume of a single raindrop
= 4/3 π (3)³
= 4/3 × 22/7 × 27
= 2376/21
= 113.14 mm³
Volume of the cylinder = 355 ml = 355000 mm³
Now, we can easily solve this mathematical problem by using the following mathematical formula.
Number of raindrops
= Total volume of the cylinder/ Volume of one raindrop
= 355000/113.14
= 3137.70
= 3138 (approx.)
Hence, approximately 3138 raindrops will be needed.
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