Final answer:
The volume of the cylinder, calculated using the formula Volume = Mass / Density with a mass of 125.66 g and a density of 2.60 g/cm³, and then rounded to three significant figures, is 48.3 cm³.
Step-by-step explanation:
To calculate the volume of a solid cylinder you can use the mass and density of the cylinder. The formula for volume when mass and density are known is Volume = Mass / Density.
Given a mass of 125.66 g and a density of 2.60 g/cm³ for the cylinder, we can perform the following calculation:
Volume = 125.66 g / 2.60 g/cm³ = 48.331 cm³
Since we want our final answer in significant figures based on the given values, we are constrained by the density value, which has three significant figures. Therefore, we must round our volume calculation to three significant figures.
The final volume of the cylinder is 48.3 cm³ when rounded correctly to three significant figures.