1. Understand the Units:
* 1 liter = 1 cubic decimeter (dm³) = 1000 cubic centimeters (cm³)
* 1 kilogram (kg) of water occupies 1 liter (or 1 dm³)
2. Calculate the Volume of the Cylinder:
* Radius (r) = 50 centimeters (cm)
* Height (h) = 1 meter = 100 centimeters (cm)
The volume of a cylinder is calculated using the formula: V = πr²h
* V = π * (50 cm)² * 100 cm
* V = 785,398.16 cm³
3. Convert Volume to Liters:
* 1000 cm³ = 1 liter
Therefore, the volume of the cylinder is 785,398.16 cm³ / 1000 cm³/liter = 785.39816 liters
4. Calculate the Weight of the Water:
* 1 liter of water weighs 1 kilogram
The weight of the water in the cylinder is 785.39816 liters * 1 kg/liter = 785.39816 kilograms.
Answer: The cylindrical container with a radius of 50 centimeters and a height of 1 meter will hold approximately 785.39816 kilograms of water.
