# In a cylindrical vessel, the liquid level reaches 12 cm.

**In a cylindrical vessel, the liquid level reaches 12 cm. At what height will the liquid level be if it is poured into a second vessel, the diameter of which is 4 times the first.**

To solve the problem, let’s compare the volumes of two vessels in order to find out how the change in the diameters of these vessels will affect them:

V = S * H, where V is the volume of the vessel, S is the cross-sectional area, H is the height of the liquid level.

Since the volume of the liquid is the same, and knowing that the diameter of the vessel has increased by 4 times, we can find the height of the level of the second vessel:

3.14 * d² * 12/4 = 3.14 * 16d² * H / 4;

3 = 4H;

H = 3/4 cm.

Answer: in the second vessel, the liquid level will be at a height of 3/4 centimeter.