Final answer:
The volume of the cylinder is approximately 282.88 cm³.
Step-by-step explanation:
To find the volume of the cylinder, we can use the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder.
Given that the area of the base is 25 cm² and the height is 11.25 cm, we can find the radius by dividing the area by π and taking the square root: r = √(25/π) ≈ 2.82 cm
Now we can substitute the values into the formula: V = 3.142 × (2.82 cm)² × 11.25 cm ≈ 282.88 cm³
So, the volume of the cylinder is approximately 282.88 cm³.