if a pump set with a pipe of 14cm diameter can drain 2500 metre water per minute .let us write by calculating ,how much kilometer water will that pump drain per hour ?
Answers
2.31 * 10⁻⁶ cubic kilometre of water the pump will drain per hour.
Step-by-step explanation:
The diameter of the pipe, d = 14 cm = 0.00014 km
So, the radius of the pipe, r = d/2 = 0.00014 /2 = 7 * 10⁻⁵ km
The length of water drained out by the pipe per min i.e., the water flow through the pipe per minute, h = 2500 m
So, the rate of flow through the pipe in km/hr will be, h = 2500 × (60/1000) = 25 × 6 = 150 km/hr
Now,
The volume of water drained out by the pipe per hour will be ,
= volume of the cylinder per hr
= πr²h
= (22/7) × (7 × 10⁻⁵)² × 150
= 2.31 × 10⁻⁶ km³
Thus, the pipe will drain out 2.31 × 10⁻⁶ km³ of water in 1 hour.
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