Answer:
V = 5.5 mL
Step-by-step explanation:
The volume filled in the graduated cylinder is 12.7 mL
now when a stone is dropped into the cylinder then the volume of liquid is raised to final level of 18.2 mL
so as per the theory of given by Archimidies we can say that the volume of the object is exactly same as the volume displaced by the object
So here the volume displaced by the object is given as
![V_(displaced) = V_f - V_i](https://img.qammunity.org/2019/formulas/physics/middle-school/8ijdx4y61eeu1zwqpp6i3kpcq4hzlmuef5.png)
![V_(displaced) = 18.2 mL - 12.7 mL](https://img.qammunity.org/2019/formulas/physics/middle-school/hwekwloy1ilcjabtxhpxrev9l3ou1d47ho.png)
![V_(displaced) = 5.5 mL](https://img.qammunity.org/2019/formulas/physics/middle-school/cekmw1hlbts0v6u6q1l4flj50cuyfd0gt5.png)
so the volume of the object is given as
![V = V_(displaced)](https://img.qammunity.org/2019/formulas/physics/middle-school/1cik5dxxmgrdjpepzb7x7jvruhhtwanhby.png)
![V = 5.5 mL](https://img.qammunity.org/2019/formulas/physics/middle-school/pizx0wk99lzli4qz0v8l8e1w74pl8djn5q.png)