700 cm3 was poured into a cylindrical vessel. water. The part was completely immersed in the liquid.

700 cm3 was poured into a cylindrical vessel. water. The part was completely immersed in the liquid. The liquid level in the vessel increased 1.4 times. What is the volume of the part?

Let us denote the area of the base of the vessel through Sbase dm2, and the height of the liquid in the vessel through h cm.
Then the volume of liquid in the vessel will be equal to:
V1 = Sbn * h cm3 = 700 cm3.
The height of the liquid in the vessel, after immersing the part there, became equal to 1.4 * h dm.
Since the liquid level has risen 1.4 times, the volume will increase 1.4 times.
V2 = Sbn * 1.4 * h = 700 * 1.4 = 980cm3.
Since the volume of the liquid has not changed, the difference in volumes is the volume of the submerged part.
V = V2 – V1 = 980 – 700 = 280 cm3.
Answer: The volume of the part is 280 cm3.