In a shower, 10 cm of rain falls. What will be the volume of water that falls on 1 hect area of ground?

Options

A. `500 cm^(3)`
B. `650 cm^(3) `
C. `1000 cm^(3) `
D. `750 cm^(3) `

Answer

To find the volume of water that falls on 1 hectare of ground when 10 cm of rain falls, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Area**:
- 1 hectare is equivalent to 10,000 square meters (m²).

2. **Convert Rainfall Measurement**:
- The rainfall is given as 10 cm. To work in consistent units, convert centimeters to meters.
- \( 10 \text{ cm} = \frac{10}{100} \text{ m} = 0.1 \text{ m} \).

3. **Calculate the Volume of Water**:
- The volume of water that falls can be calculated using the formula:
\[ \text{Volume} = \text{Area} \times \text{Rainfall} \]
- Substitute the values:
\[ \text{Volume} = 10,000 \text{ m}^2 \times 0.1 \text{ m} \]

4. **Perform the Calculation**:
- Calculate the volume:
\[ \text{Volume} = 10,000 \times 0.1 = 1,000 \text{ m}^3 \]

5. **Conclusion**:
- The volume of water that falls on 1 hectare of ground when 10 cm of rain falls is **1,000 cubic meters (m³)**.