Final answer:
The volume of mulch needed for the flower garden is approximately 37.68 cubic feet.
Step-by-step explanation:
To find the volume of mulch needed for a circular flower garden, we first need to calculate the volume of the garden. 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 radius is half the diameter, so r = 12/2 = 6 feet. The height is the thickness of the mulch, which is 4 inches or 4/12 = 1/3 feet. Plugging these values into the formula, we get V = π(6)^2(1/3). To simplify further, we can use the approximate value of π as 3.14. Therefore, the volume of mulch needed for the flower garden is approximately 37.68 cubic feet.