Final answer:
The volume of a spherical storage tank with a diameter of 14 feet calculates to 14336/3 cubic feet, using the formula for the volume of a sphere. The provided answer options do not match this calculation, indicating a possible error in the options given.
Step-by-step explanation:
The question asks about the volume of a spherical storage tank with a diameter of 14 feet. To find the volume of the sphere, the formula V = (4/3) π r^3 is used, where r is the radius of the sphere. Given the diameter is 14 feet, the radius r would be 7 feet (since the radius is half the diameter). Applying the given value of π as 22/7, we calculate:
V = (4/3) π r^3 = (4/3) × (22/7) × (7^3) = (4/3) × 22 × 7 × 7 = 14336/3 cubic feet.
After simplifying the calculations, the correct answer is 14336/3 cubic feet, which is not one of the options provided. It seems there might be an error in the given options or a mistake in the calculation.