The correct answer is C. 0.25 foot.
To find the depth of the mulch, we need to determine the volume of the circular mulch bed and divide it by the area. The volume of a cylinder can be calculated as:
V = πr^2h
where r is the radius and h is the height (or depth) of the cylinder.
For the circular mulch bed, the radius is 1.6 feet and we want to find the height (or depth), so we can set the volume equal to the volume of the mulch:
V = π * 1.6^2 * h
V = 2 cubic feet
Solving for h:
h = V / (π * r^2)
h = 2 / (π * 1.6^2)
Using the value of π = 3.14, we get:
h = 2 / (3.14 * 1.6^2)
h = 0.24 inches
Therefore, the depth of the mulch is approximately 0.24 inches to the nearest hundredth of an inch, which is the appropriate number of significant digits.
To convert inches to feet, divide the number of inches by 12:
0.24 inches / 12 inches/foot = 0.02 feet
Rounding to the nearest hundredth of a foot, we get 0.25 feet as the answer.