The tank is in the shape of a cylinder and holds 140 tons of gasoline. Determine the height of the tank
The tank is in the shape of a cylinder and holds 140 tons of gasoline. Determine the height of the tank if its base area is 4000 dm3.
Given:
m = 140 tons = 14 * 10 ^ 4 kilograms – the mass of gasoline in the tank;
ro = 750 kg / m ^ 3 is the density of gasoline;
S = 4000 dm ^ 2 = 40 m ^ 2 – the area of the base of the tank.
It is required to determine the height of the tank H (meter).
Let’s find the volume that gasoline takes up:
V = m / ro = 14 * 10 ^ 4/750 = 140,000/750 = 186.7 m ^ 3.
Since, according to the condition of the problem, the tank has the shape of a cylinder, then:
H = V / S = 186.7 / 40 = 4.7 meters.
Note: The density of the gasoline is critical in the calculations. If, according to the condition of the problem, we take another (non-standard) density value, then the height of the tank will change in accordance with the specified formulas.
Answer: The height of the tank is 4.7 meters.