Question

A river 10m deep and 100m wide is flowing at the rate of 4.5 km/h . Find the quantity of water that runs into the sea per second

Answer 1

SOLUTION:-

Given:

A river 10m deep & 100m wide is flowing at the rate of 4.5km/h.

To find:

The quantity of water that runs into the sea/ second.

Explanation:

We have,

• Height of the sea= 10m
• Breadth of the sea= 100m
• Length of the sea= 4.5km

In metres= 4500m

According to the question:

Volume of water that runs into sea/ hrs.

Formula: length× breadth× height

Volume= 10m × 100m × 4500m

Volume= 4500000m³

&

Volume of water that runs into the sea per second;

1 hour= 60 minutes

1 minutes= 60 seconds

1 hour= 60 × 60 seconds

1 hour= 3600 seconds.

Now,

$Volume \: of \: Water \: per \: second = \frac{4500000}{3600} \\ \\ Volume \: of \: water \: per \: second = 1250 {m}^{3} / sec.$

Thus,

The quantity of water that runs into the sea/ sec= 1250m³.

Answer 2

Step-by-step explanation:

Flow (m3/s) = Cross sectional area (m2) x velocity (m/s)

cross sectional area = depth x breadth = 10 x 100 = 1000 m2

velocity = 4.5 km/hr = 4500/3600 m/s = 1.25 m/s

So total flow = 1000 x 1.25 = 1250 cu m/second