A graduated cylinder measures 17.1 mL of water. A small shiny gold piece of metal is gently dropped into the graduated cylinder and the water displaces to 19.8 mL. What is the volume of the piece of gold?

Volume of gold piece is 2.7 ml

Explanation:

A graduated cylinder also known as measuring cylinder is a very common laboratory equipment for measuring and mixing more than one liquids or other combinations. It is marked with lines each representing the volume in the cylinder.

Now as per given statement in question,

We have volume of water in cylinder = 17.1 ml

Volume of water and gold piece = 19.8ml

If there is no other addition other than gold piece, then volume of gold piece = 19.8 - 17.1 = 2.7 ml

2.7mL

Explanation:

From the question given, we obtained the following:

Volume of water = 17.1 mL

Volume of water + gold = 19.8mL

From Archimedes' principle, we understood that an object will displace its own volume from a liquid when immersed in the liquid. With this understanding, we can obtain the volume of the gold as follow:

Volume of water + gold = 19.8mL

17.1 mL + gold = 19.8mL

Collect like terms

gold = 19.8mL - 17.1mL

gold = 2.7mL

Therefore, the volume of gold is 2.7mL