Let's assume the following:
* Mass of the fuel: 1000 kg
* Density of the fuel: 800 kg/m^3
* Shape of the tank: Cylinder
The volume of a cylinder is given by the formula:
V = πr^2h
where:
* V is the volume in cubic meters (m^3)
* r is the radius of the cylinder in meters (m)
* h is the height of the cylinder in meters (m)
To find the radius of the tank, we need to use the density of the fuel and the mass of the fuel. The density of a substance is defined as its mass per unit volume. So, we can rearrange the formula for density to solve for the volume:
V = m/ρ
where:
* ρ is the density in kilograms per cubic meter (kg/m^3)
* m is the mass in kilograms (kg)
Substituting the given values into the formula:
V = 1000 kg / 800 kg/m^3
V = 1.25 m^3
Now that we know the volume of the fuel, we can use the formula for the volume of a cylinder to find the radius and height of the tank.
Let's assume the tank has a height of 2 meters. Substituting the given values into the formula for the volume of a cylinder:
V = πr^2h
1.25 m^3 = πr^2(2 m)
r^2 = 1.25 m^3 / (π × 2 m)
r^2 = 0.2 m^2
r = √0.2 m^2
r = 0.447 m
Therefore, the radius of the tank is approximately 0.447 meters.
