9.
Ariver 3 m deep and 40 m wide is flowing at the rate of 2 km per hour How much water
will fall into the sea in a minute?
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Given data : A river 3 m deep and 40 m wide is flowing at the rate of 2 km/hr.
To find ; How much water will fall into the sea in a minute?
Solution : Here, depth of river = 3 m and width of river = 40 m
Now, we take length as distance
Here, speed = 2 km/m = 2000/3600 m/s = 5/9 m/s and time = 1 min = 60 sec
By formula :
⟹ speed = distance/time
⟹ 5/9 = distance/60
⟹ distance = 5/9 * 60
⟹ distance = 300/9
⟹ distance = 100/3 m
∴ length = 100/3 m
Now,
⟹ volume of water falling = length * depth * height
⟹ volume of water falling = 100/3 * 3 * 40
⟹ volume of water falling = 100 * 40
⟹ volume of water falling = 4000 m³
Here, we know 4000 m³ = 4000000 litre
Hence, water fall into sea in one minute is 4000000 litre or 4000 m³.
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