Question

a water canel 6m wide and 1.5m deep is following with a speed of 10k/h. how much area will irregate in 30m. if 8m of standing water is needed

Answer 1

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Answer 2

Answer:

The area of the field is 56.25 hectares.

Step-by-step explanation:

Given : A water canel 6m wide and 1.5m deep is following with a speed of 10k/h.

To find : How much area will irregate in 30m. if 8m of standing water is needed?

Solution :

Speed of flowing of water from canal is 10km/h,

Length of water flows in 1 hour = 5 km,

So length of water flows in 30 minutes = 5km

Now, volume of water flowing from canal = length of water flows in 30 minutes × breadth of canal × deep of canal

V= 5000m × 6m × 1.5m = 45000 m³

Let area of field = x m²

Then, volume of water irrigates into the field = area of field × height of water during irrigation

V= x m² × 8× 10⁻² m = 0.08x m³

Now, volume of water flowing from canal = volume of water in field

45000 m³ = 0.08x m³

x = 562500 m²

We know, 1 hectare = 10000 m²

So, area of field in hectare = 562500/10000 = 56.25 hectares

The area of the field is 56.25 hectares.