In a shower 10 cm of rain fall the volume of water that falls on 1.5 hectares of ground is :

Options

A. `1500 m^(3) `
B. `1400 m^(3) `
C. `1200 m^(3) `
D. `1000 m^(3) `

Answer

To find the volume of water that falls on 1.5 hectares of ground when 10 cm of rain falls, we can follow these steps:

### Step 1: Convert hectares to square meters
1 hectare is equal to \(10^4\) square meters. Therefore, to convert 1.5 hectares to square meters:
\[ 1.5 \text{ hectares} = 1.5 \times 10^4 \text{ m}^2 = 15000 \text{ m}^2 \]

### Step 2: Convert the depth of rainfall from centimeters to meters
The depth of rainfall is given as 10 cm. To convert this to meters:
\[ 10 \text{ cm} = \frac{10}{100} \text{ m} = 0.1 \text{ m} \]

### Step 3: Calculate the volume of water
The volume of water can be calculated using the formula:
\[ \text{Volume} = \text{Area} \times \text{Depth} \]
Substituting the values we have:
\[ \text{Volume} = 15000 \text{ m}^2 \times 0.1 \text{ m} = 1500 \text{ m}^3 \]

### Final Answer
The volume of water that falls on 1.5 hectares of ground when 10 cm of rain falls is **1500 m³**.

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