Water is being pumped out through a circular pipe whose internal diameter is 7cm if the flow of water is 72cm per second how many letters of water are being pumped out in hour
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Given data : Water is being pumped out through a circular pipe whose internal diameter is 7cm. The flow of water is 72cm per second.
To find : How many litres of water are being pumped out in one hour.
Solution : Let, pipe's shape be cylindrical.
Now, according to given,
Length/height of pipe = 72 cm
Diameter of pipe = 7 cm
Radius of pipe = d/2 = 7/2 cm
Now,
⟹ volume of pipe = π * r² * h
{ Where,
π = 22/7
r = radius
h = height }
⟹ volume of pipe = 22/7 * (7/2)² * 72
⟹ volume of pipe = 22/7 * 49/4 * 72
⟹ volume of pipe = 22 * 7/4 * 72
⟹ volume of pipe = 22 * 7 * 18
⟹ volume of pipe = 154 * 18
⟹ volume of pipe = 2772 cm³
Now, we know that,
⟹ 1 litre = 1000 cm³
Hence,
⟹ water pumped out in one sec through pipe = 2772/1000 = 2.772 litre
Here, we know that,
⟹ 1 hour = 3600 sec
Now,
⟹ water pumped out in one sec through pipe = 2.772 * 3600 = 9979.2 litre
Answer : Hence, 9979.2 litre of water are being pumped out in one hour.