To calculate the mass of the water in the cylindrical container, we need to determine the volume of the water and then use the density of water to convert it to mass.
The volume of a cylinder can be calculated using the formula:
V = πr²h
where: V = volume π = pi (approximately 3.14159) r = radius h = height
Given that the inside diameter is 10.4 cm, the radius (r) is half of the diameter:
r = 10.4 cm / 2 r = 5.2 cm
Converting the radius to meters:
r = 5.2 cm * 0.01 m/cm r = 0.052 m
The height of the cylinder is given as 28.5 cm, which can be directly converted to meters:
h = 28.5 cm * 0.01 m/cm h = 0.285 m
Now, we can calculate the volume (V) of water in the cylinder:
V = π(0.052 m)² * 0.285 m V ≈ 0.038 m³
The density of water is approximately 1000 kg/m³. So, to find the mass (m) of the water, we multiply the volume by the density:
m = V * density m = 0.038 m³ * 1000 kg/m³ m = 38 kg
Therefore, the mass of the water in the cylindrical container is approximately 38 kilograms.