A cylindrical storage tank has a radius of 1.36 m. When filled to a height of 3.94 m, it holds 15700 kg of a liquid industrial solvent. What is the density of the solvent?
ρ=m/V =m/πr²h=
=15700/π•1.35²•3.94=696 kg/m³
To find the density of the solvent, we need to use the formula:
Density = mass / volume
1. First, let's find the volume of the cylindrical tank using the formula for the volume of a cylinder:
Volume = π * r^2 * h
where π is a constant (approximately equal to 3.14159), r is the radius, and h is the height.
In this case:
r = 1.36 m
h = 3.94 m
Plugging these values into the formula, we get:
Volume = 3.14159 * (1.36)^2 * 3.94
Calculate the values inside the parentheses first:
(1.36)^2 = 1.8496
Now substitute the values into the formula:
Volume = 3.14159 * 1.8496 * 3.94
Approximately, the volume is:
Volume ≈ 22.1911 m^3
2. Next, we have the mass of the solvent, which is given as 15700 kg.
3. Now we can substitute the values into the density formula:
Density = mass / volume
Density ≈ 15700 kg / 22.1911 m^3
Divide the mass by the volume:
Density ≈ 706.84 kg/m^3
Therefore, the density of the solvent is approximately 706.84 kg/m^3.