The following procedure was used to determine the volume of a flask. The flask was weighed dry and then flled with water. If the masses of the empty flask and filled fask were 43.20 g and 91.64 g , respectively, and the density of water is \( 0.9976 \frac{\mathrm{~g}}{\mathrm{~cm}^{3}} \), calculate the volume of the flask in em \( { }^{3} \). Round your answer to 4 significant digits. volume:

To calculate the volume of the flask, we can use the formula for volume: \[ \text{Volume} = \frac{\text{Mass of filled flask} - \text{Mass of empty flask}}{\text{Density of water}} \] Given: - Mass of empty flask = 43.20 g - Mass of filled flask = 91.64 g - Density of water = 0.9976 g/cm³ Substitute the given values into the formula to find the volume of the flask. Calculate the value by following steps: - step0: Calculate: \(\frac{\left(91.64-43.2\right)}{0.9976}\) - step1: Remove the parentheses: \(\frac{91.64-43.2}{0.9976}\) - step2: Subtract the numbers: \(\frac{48.44}{0.9976}\) - step3: Convert the expressions: \(\frac{\frac{1211}{25}}{\frac{1247}{1250}}\) - step4: Multiply by the reciprocal: \(\frac{1211}{25}\times \frac{1250}{1247}\) - step5: Reduce the numbers: \(1211\times \frac{50}{1247}\) - step6: Multiply: \(\frac{1211\times 50}{1247}\) - step7: Multiply: \(\frac{60550}{1247}\) The volume of the flask is approximately 48.556536 cm³. Rounding this to 4 significant digits, the volume of the flask is 48.56 cm³.