Final answer:
Approximately 198 cubic centimeters of water will be required to fill the cylinder.
Step-by-step explanation:
To find the volume of the cylinder, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, the radius is 3 cm and the height is 7 cm.
Substituting these values into the formula, we get V = 3.142 × (3 cm)² × 7 cm ≈ 198 cm³.
Therefore, approximately 198 cubic centimeters of water will be required to fill the cylinder.