Step 1: Understanding the Concept:
Volumetric irrigation application is the product of field surface area and the replacement water depth.
Key Formula or Approach:
\[ V = A \times d \]
where \(A\) is field area (\(\text{m}^2\)) and \(d\) is water depth (m).
Step 2: Detailed Explanation:
Given parameters:
- Field area: \(A = 1\text{ ha} = 10,000\text{ m}^2\)
- Observed daily evapotranspiration depth: \(d = 1\text{ cm} = 0.01\text{ m}\)
Computing the total volume of irrigation water required:
\[ V = A \times d = 10,000\text{ m}^2 \times 0.01\text{ m} = 100\text{ m}^3 \]
\[ (100\text{ m}^3 = 100,000\text{ litres}) \]
Step 3: Final Answer:
Thus, the amount of water to be used is \(100\text{ m}^3\), corresponding to option (C).