A measuring cylinder has water of volume`75cm^(3)` ' A stone is dropped in water and the level rises to `125cm^(3)` . What is the volume of stone ?

Options

A. 25 `cm^(3)`
B. 50 `cm^(3)`
C. 75 `cm^(3)`
D. 100 `cm^(3)`

Answer

To find the volume of the stone that was dropped into the water, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Initial Volume of Water**:
The initial volume of water in the measuring cylinder is given as 75 cm³.

2. **Identify the Final Volume of Water**:
After the stone is dropped into the water, the new volume of water is 125 cm³.

3. **Calculate the Volume Increase**:
To find the volume of the stone, we need to calculate the difference between the final volume and the initial volume of water.
\[ \text{Volume of Stone} = \text{Final Volume} - \text{Initial Volume} \]

4. **Substitute the Values**:
Substitute the values we have:
\[ \text{Volume of Stone} = 125 \, \text{cm}^3 - 75 \, \text{cm}^3 \]

5. **Perform the Calculation**:
Now, perform the subtraction:
\[ \text{Volume of Stone} = 50 \, \text{cm}^3 \]

### Final Answer:
The volume of the stone is **50 cm³**.

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