Question

The initial water level in a 10 -mL graduated cylinder reads 4.1 mL . after a ruby gemstone is dropped into the cylinder , the water level reads 7.1 mL what is the volume of the ruby ?

Answer 1

The volume of the ruby gemstone is determined to be 3.0 mL, calculated by taking the difference between the initial and final water levels in the graduated cylinder after the ruby is submerged.

Step-by-step explanation:

The student has conducted an experiment using a graduated cylinder to determine the volume of a ruby gemstone by water displacement. To find the volume of the ruby, we use the difference in water level before and after the ruby is submerged. The initial water level was 4.1 mL, and after the ruby was added, it rose to 7.1 mL. Therefore, the volume of the ruby is the difference between these two measurements.

Subtracting the initial water level from the final water level gives us:

• Volume of Ruby = Final Water Level - Initial Water Level
• Volume of Ruby = 7.1 mL - 4.1 mL
• Volume of Ruby = 3.0 mL

The volume of the ruby gemstone is 3.0 mL.

Answer 2

The volume of water = 4.1 mL
The volume of water + the volume of the ruby gemstone = 7.1 mL

The volume of the ruby gemstone can be calculated as:
7.1 mL - 4.1 mL = 3.0 mL

This is the common procedure to determine volumes of irregular bodies. The body is dropped into water, with previously known volume. The difference in the volume after and before addition of the body is the volume of it.