Final answer:
The mass of gasoline in the closed cylindrical tank is approximately 23,217 kg.
Step-by-step explanation:
To find the mass of gasoline in the tank, we need to determine the volume of the tank and then calculate the mass using the density of gasoline.
The tank is a closed cylinder with a diameter of 8 ft and a length of 24 ft. The volume of a cylinder can be calculated using the formula V = πr²h, where r is the radius and h is the height.
Since the diameter is given, we can divide it by 2 to find the radius:
8 ft / 2 = 4 ft.
And the height is given as 24 ft.
Using the formula and substituting the values, we have
V = π(4 ft)²(24 ft) = 384π ft³.
Now, we need to convert the volume from ft³ to L. 1 ft³ is approximately equal to 28.32 L, so the volume of the tank is approximately:
384π × 28.32 L ≈ 34,145 L.
Finally, we can calculate the mass of gasoline using the density. The density of gasoline is given as 0.68 kg/L. Multiplying the density by the volume, we have:
0.68 kg/L × 34,145 L ≈ 23,217 kg.
Therefore, the mass of gasoline in the tank is approximately 23,217 kg.