Final answer:
The cylinder-shaped container can hold approximately 10.512 quarts of soup.
Step-by-step explanation:
To find the number of quarts the container can hold, we need to find the volume of the cylinder-shaped container. The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. In this case, the diameter is given as 8 inches, which means the radius is half of the diameter, so r = 8/2 = 4 inches. The height is given as 12 inches.
Substituting the values into the formula, we get V = π(4^2)(12) = 192π cubic inches. Since 1 quart is equal to 57.75 cubic inches, we can divide the volume of the container by 57.75 to get the number of quarts: 192π / 57.75 ≈ 10.512 quarts.
Therefore, the container will hold approximately 10.512 quarts of soup.