In a hospital used water is collected in a cylindrical tank of diameter 2 m and hight 5 m.After recycling this water is used to irrigate 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 irigating the park write your views on recycling of water.

Answer

To solve the problem, we need to find the height of standing water used for irrigating the park after the water is collected in a cylindrical tank. Here’s a step-by-step solution:

### Step 1: Calculate the Volume of the Cylindrical Tank
The formula for the volume \( V \) of a cylinder is given by:
\[ V = \pi r^2 h \]
where \( r \) is the radius and \( h \) is the height.

- **Given:**
- Diameter of the tank = 2 m
- Height of the tank = 5 m

- **Calculate the radius:**
\[ r = \frac{\text{Diameter}}{2} = \frac{2 \text{ m}}{2} = 1 \text{ m} \]

- **Calculate the volume of the tank:**
\[ V = \pi (1 \text{ m})^2 (5 \text{ m}) = \pi \times 1 \times 5 = 5\pi \text{ m}^3 \]

### Step 2: Calculate the Area of the Park
The area \( A \) of the rectangular park is given by:
\[ A = \text{Length} \times \text{Breadth} \]

- **Given:**
- Length of the park = 25 m
- Breadth of the park = 20 m

- **Calculate the area:**
\[ A = 25 \text{ m} \times 20 \text{ m} = 500 \text{ m}^2 \]

### Step 3: Calculate the Height of Standing Water in the Park
Let \( h \) be the height of standing water in the park. The volume of water used to irrigate the park can also be expressed as:
\[ \text{Volume} = \text{Area} \times \text{Height} = A \times h \]

Setting the volume of the tank equal to the volume of water used in the park:
\[ 5\pi = 500h \]

### Step 4: Solve for \( h \)
Rearranging the equation to find \( h \):
\[ h = \frac{5\pi}{500} \]
\[ h = \frac{\pi}{100} \text{ m} \]

### Step 5: Approximate the Value of \( h \)
Using \( \pi \approx 3.14 \):
\[ h \approx \frac{3.14}{100} = 0.0314 \text{ m} \]
or converting to centimeters:
\[ h \approx 3.14 \text{ cm} \]

### Conclusion
The height of standing water used for irrigating the park is approximately **3.14 cm**.

### Views on Recycling of Water
Recycling water is essential for sustainable water management, especially in urban areas. It helps in conserving water resources, reduces the burden on sewage systems, and provides a reliable source of water for irrigation and other non-potable uses. This practice not only promotes environmental sustainability but also enhances the efficiency of water usage in hospitals and parks.