Final answer:
The volume of the cylinder is approximately 3,019.4 cm³.
Step-by-step explanation:
To calculate the volume of a cylinder, we can use the formula V = πr²h, where V is the volume, r is the radius of the base, and h is the height. In this case, the base diameter is given, so we need to find the radius by dividing the diameter by 2. The radius is 16/2 = 8 cm. The height is given as 19 cm. Substituting these values into the formula, we get V = 3.142 × (8 cm)² × 19 cm ≈ 3,019.36 cm³. Rounding to the nearest tenth, the volume of the cylinder is approximately 3,019.4 cm³.