Final answer:
The height of the water level in the cylindrical vessel will be 5 cm.
Step-by-step explanation:
To find the height of the water level in the cylindrical vessel, we need to compare the volume of water poured from the cubical tank to the volume of the cylindrical vessel. The volume of the water poured is 12 cm³.
The volume of the cylindrical vessel can be calculated using the formula V = πr²h, with a radius of 0.75 cm and a height of 5.25 cm.
Substituting the values into the formula, we get V = 3.142 × (0.750 cm)² × 5.25 cm = 9.278 cm³.
Since the volume of water poured from the cubical tank is larger than the volume of the cylindrical vessel, the water level will rise to the height of the vessel, which is 5 cm. Therefore, the answer is C) 5 cm.