Question

A cylindrical vase is 28cm high. Its internal diameter is d=1.1 dm. How many litres of water will fill up the vase, if the thickness of its bottom is 1.5cm?

a) 4.1 liters
b) 2.9 liters
c) 3.6 liters
d) 5.2 liters

Answer 1

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.