To find the volume of the liquid in the container, we can follow these steps:
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Calculate the mass of the liquid:
- The total mass when filled is 750 grams.
- The weight of the empty container is 200 grams.
- Therefore, the mass of the liquid is: \[ \text{mass of liquid} = \text{total mass} - \text{mass of container} = 750 \text{ g} - 200 \text{ g} = 550 \text{ g} \]
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Use the density to find the volume:
- We know the density (\( \rho \)) of the liquid is 1.1 g/cm³.
- The formula relating mass (\( m \)), volume (\( V \)), and density is: \[ \rho = \frac{m}{V} \] Rearranging the formula to find volume gives: \[ V = \frac{m}{\rho} \]
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Plug in the values:
- Substituting the mass of the liquid and the density into the formula, we get: \[ V = \frac{550 \text{ g}}{1.1 \text{ g/cm}^3} = 500 \text{ cm}^3 \]
Thus, the volume of the liquid in the container is 500 cm³.