Question

I graduated cylinder is filled to initial volume of 12.7 mL a rock is dropped into the graduated cylinder the final volume of the graduated cylinder is 18.2 mL what is the volume

Answer 1

Question is Incomplete, Complete question is Given below.

A graduated cylinder is filled to an initial volume of 12.7 ml. A rock Is dropped into the graduated cylinder. The final volume of the graduated cylinder is 18.2 ml. What is the Rocks volume in both ml and cm3? What method was used to determine this?

Answer:

Volume of Rock is 5.5 ml or 5.5 cubic cm.

Also The principle or method used to find the same was Archimedes' Principle.

Step-by-step explanation:

Given:

The Initial volume filled in the graduated cylinder = 12.7 ml

Also Final volume of liquid when a stone is dropped into the cylinder = 18.2 ml

Now According to Archimedes principle which states that:

"When an object is partially or fully immersed in liquid the volume of the object is exactly same as the volume of liquid displaced by the object."

So here the volume displaced by the object is given by;

$V_{displaced} = V_{final}-V_{initial}$

Substituting the given Values we get;

$V_{displaced} = 18.2 -12.7 = 5.5\ ml$

Volume of the Rock is equal to Volume which got displaced.

$V_{rock}=V_{displaced}$

Hence,

$V_{rock}=5.5\ ml$

Also $1\ ml = 1\ cm^3$

So, $5.5\ ml= 5.5\ cm^3$

Hence Volume of Rock is 5.5 ml or 5.5 cubic cm.

Also The principle or method used to find the same was Archimedes' Principle.