Final answer:
The volume of the cylindrical vase is 0.5371 liters.
Step-by-step explanation:
To calculate the volume of the cylindrical vase, we first need to find the internal radius. The internal radius is half of the internal diameter, so it is d/2 = 1.1 dm/2 = 0.55 dm.
The volume of a cylinder is given by the formula V = (πr²)h, where r is the radius and h is the height. In this case, the height of the vase is 28 cm = 0.28 dm. Plugging in the values, we get V = (π0.55²)(0.28) = 0.5371 dm³.
To convert the volume to liters, we need to divide by 1000 since there are 1000 cm³ in 1 liter. So, the volume in liters is 0.5371 dm³ / 1000 = 0.5371 liters.