Water flows through a horizontal pipe of radius 1 cm at a speed of `2 ms^(-1)`. What should be diameter of its nozzel if the water is to come out at a speed of `10 ms^(-1)`?

Explanation

To solve the problem, we can use the principle of continuity for fluid flow, which states that the product of the cross-sectional area and the velocity of the fluid must remain constant along a streamline.

### Step-by-step Solution:

1. **Identify the given data:**
- Radius of the pipe, \( r_1 = 1 \, \text{cm} = 0.01 \, \text{m} \)
- Velocity of water in the pipe, \( v_1 = 2 \, \text{m/s} \)
- Velocity of water at the nozzle, \( v_2 = 10 \, \text{m/s} \)
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