Question

an object’s volume was determined through water displacement. the starting height of the water was 58 ml and the ending height was 65 ml. what is the density of the object if it has a mass of 47.5 g? 0.15 g/cm³ 0.39 g/cm³ 67.86 g/cm³ 6.79 g/cm³

Explanation:

Step1: Find the volume of the object

The volume of the object is the difference between the ending and starting water levels. So, \( V = 65\space mL - 58\space mL = 7\space mL \). Since \( 1\space mL = 1\space cm^3 \), the volume \( V = 7\space cm^3 \).

Step2: Calculate the density

Density is given by the formula \(
ho=\frac{m}{V} \), where \( m \) is mass and \( V \) is volume. Substituting \( m = 47.5\space g \) and \( V = 7\space cm^3 \), we get \(
ho=\frac{47.5}{7}\approx6.79\space g/cm^3 \).

Answer:

6.79 g/cm³ (corresponding to the option with 6.79 g/cm³)