A room in the form of a cylinder surmounted by a hemisphere valuted dome contains 17.7 `m^(3)` .After recycling, this water is used to irriegate a park of hospital whose length is 25 m and breadth is 20 m. If tank is filled completely then what will be the height of standing water used for irrigting the park write you views on recycling of water.

Answer

To solve the problem step by step, we need to find the height of the standing water in the park after recycling the water from the cylindrical tank with a hemispherical dome. Here’s how we can do it:

### Step 1: Understand the Volume of Water
We know that the total volume of water available is 17.7 m³. This volume will be used to irrigate the park.

### Step 2: Calculate the Area of the Park
The area of the park can be calculated using the formula for the area of a rectangle:
\[ \text{Area} = \text{Length} \times \text{Breadth} \]
Given:
- Length = 25 m
- Breadth = 20 m

Calculating the area:
\[ \text{Area} = 25 \, \text{m} \times 20 \, \text{m} = 500 \, \text{m}^2 \]

### Step 3: Relate Volume to Height
The volume of water that will be spread over the park can also be expressed in terms of the area and height:
\[ \text{Volume} = \text{Area} \times \text{Height} \]
We can rearrange this formula to find the height:
\[ \text{Height} = \frac{\text{Volume}}{\text{Area}} \]

### Step 4: Substitute the Values
Now, substituting the known values into the height formula:
\[ \text{Height} = \frac{17.7 \, \text{m}^3}{500 \, \text{m}^2} \]

### Step 5: Calculate the Height
Calculating the height:
\[ \text{Height} = \frac{17.7}{500} = 0.0354 \, \text{m} \]

### Step 6: Convert Height to Centimeters
To convert the height from meters to centimeters, we multiply by 100:
\[ \text{Height in cm} = 0.0354 \, \text{m} \times 100 = 3.54 \, \text{cm} \]

### Final Answer
The height of the standing water used for irrigating the park is **3.54 cm**.

### Views on Recycling of Water
Recycling water is an essential practice that helps conserve water resources, reduces the demand for freshwater, and minimizes waste. It can be particularly beneficial in agricultural practices, where treated wastewater can be used for irrigation, thus ensuring that crops receive adequate moisture without depleting natural water sources. Additionally, recycling water can help in reducing the environmental impact of wastewater disposal and can contribute to sustainable water management.