The volume (in `cm^(3)`) of rain water that can be collected from 1.5 hectares of ground in a rainfall of 5 cm is

Options

A. 75
B. 750
C. 7500
D. 75000

Answer

To find the volume of rainwater that can be collected from 1.5 hectares of ground with a rainfall of 5 cm, we will follow these steps:

### Step 1: Convert hectares to square centimeters
1 hectare is equal to 10,000 square meters. Since 1 square meter is equal to 10,000 square centimeters, we can convert hectares to square centimeters as follows:

\[ 1 \text{ hectare} = 10,000 \text{ m}^2 = 10,000 \times 10,000 \text{ cm}^2 = 100,000,000 \text{ cm}^2 \]

Thus, for 1.5 hectares:

\[ 1.5 \text{ hectares} = 1.5 \times 100,000,000 \text{ cm}^2 = 150,000,000 \text{ cm}^2 \]

### Step 2: Calculate the volume of rainwater
The volume of rainwater collected can be calculated using the formula:

\[ \text{Volume} = \text{Area} \times \text{Height} \]

Here, the area is the area of the ground in square centimeters, and the height is the rainfall in centimeters.

Given:
- Area = 150,000,000 cm²
- Height (rainfall) = 5 cm

Now, substituting the values into the formula:

\[ \text{Volume} = 150,000,000 \text{ cm}^2 \times 5 \text{ cm} = 750,000,000 \text{ cm}^3 \]

### Step 3: Conclusion
Thus, the volume of rainwater that can be collected from 1.5 hectares of ground in a rainfall of 5 cm is:

\[ \text{Volume} = 750,000,000 \text{ cm}^3 \]

### Final Answer
The volume of rainwater that can be collected is **750,000,000 cm³**.

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