Question

A graduated cylinder was filled with 25.0 mL of water. A solid object was immersed in the cylinder, raising the water level to 32.9 mL. The volume of the object was calculated as 7.9 mL. The solid has a mass of 69.2 grams. What is the density of the object?

Answer 1

The density of the object is 8.76 g/mL, calculated by dividing its mass (69.2 grams) by its volume (7.9 mL).

Step-by-step explanation:

The density of an object is calculated by dividing its mass by its volume. From the given information, the student submerged a solid object in a graduated cylinder filled with water, raising the water level from 25.0 mL to 32.9 mL. This displacement indicates the volume of the object, which is 32.9 mL - 25.0 mL = 7.9 mL. The mass of the solid is provided as 69.2 grams. Therefore, the density of the object can be found by the formula:

Density (D) = Mass (m) / Volume (V)

Inserting the values we have:

D = 69.2 g / 7.9 mL

Hence, the density of the object is:

D = 8.76 g/mL