Final answer:
The elliptical oil tank will hold approximately 8.4 quarts of oil
Step-by-step explanation:
To find the volume of the elliptical oil tank, we can use the formula:
Volume = (π * a * b * c) / 4
Where a, b, and c are the semi-major, semi-minor, and semi-vertical axes of the ellipse respectively.
In this case, we can calculate the values of a, b, and c using the given base diameters.
a = (9 3/16") / 2 = (69/16) / 2
= 69/32
b = (15 7/8") / 2 = (127/8) / 2
= 127/16
c = (14 3/8") / 2 = (115/8) / 2
= 115/16
Now, we can substitute these values into the volume formula:
Volume = (π * (69/32) * (127/16) * (115/16)) / 4
Volume = (π * 69 * 127 * 115) / (32 * 16 * 16 * 4)
Volume ≈ 1940.76 cubic inches
Since 231 cubic inches is equal to 1 gallon, we can convert the volume to quarts:
Quarts = (1940.76 / 231) ≈ 8.4 quarts
Therefore, the elliptical oil tank will hold approximately 8.4 quarts of oil.