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.



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