In a cone-shaped vessel, the liquid level reaches 1/3 of the height. The volume of the vessel is 810 ml.

In a cone-shaped vessel, the liquid level reaches 1/3 of the height. The volume of the vessel is 810 ml. What is the volume of the liquid poured?

To solve this problem, we will use the ratio of the volumes of the cylinder and the liquid:
The ratio of the volumes of the cone is proportional to the ratio of the cubes of heights, therefore (Н1 / Н2) ^ 3 = 27.
This means that the volume of the cylinder is 27 times greater than the volume of the liquid, then the volume of the liquid is: 810/27 = 30 ml.



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