To calculate the volume of water required to apply 5 cm of irrigation over one hectare, we need to convert the area and depth into compatible units.
1 hectare = 10,000 square meters (m²).
The depth of water to be applied is 5 cm, which is equal to 0.05 meters (since 1 cm = 0.01 meters).
Now, the volume of water is given by the formula:
\(\text{Volume} = \text{Area} \times \text{Depth}\)
Substituting the values:
\(\text{Volume} = 10,000 \, \text{m}^2 \times 0.05 \, \text{m} = 500 \, \text{m}^3\)
Therefore, the volume of water required is 5000 cubic meters.
So the correct answer is (C) 5000 cubic meters.
One hectare is 10,000 square meters. To apply 5 cm (0.05 m) of water over this area, the volume required is 10,000 m2 ×0.05m = 500cubicmeters.