A pitot tube is fixed in a water pipe of diameter `14 cm` and difference of pressure by the gauge is `20 cm` of water column. Calculate the rate of flow of water.

Explanation

To solve the problem of calculating the rate of flow of water through a pipe using a pitot tube, we can follow these steps:

### Step 1: Understand the Given Data
- Diameter of the pipe, \( D = 14 \, \text{cm} = 0.14 \, \text{m} \)
- Radius of the pipe, \( r = \frac{D}{2} = \frac{14 \, \text{cm}}{2} = 7 \, \text{cm} = 0.07 \, \text{m} \)
- Pressure difference, \( h = 20 \, \text{cm} \, \text{of water} = 0.20 \, \text{m} \)

### Step 2: Apply Bernoulli's Equation
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