Jeffrey is buying dirt for a circular flower garden with a diameter of 12 feet. The layer of dirt needs to be 4 inches thick. What is the volume of dirt needed for the flower garden
To find the volume of dirt needed for the flower garden, we first need to find the volume of the circular garden bed.
The formula to find the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Since the garden bed is circular, the radius is half of the diameter. Therefore, the radius is 12 feet / 2 = 6 feet.
The height of the garden bed is the thickness of the dirt layer, which is 4 inches. However, we need to convert inches to feet to keep all the units consistent.
Since there are 12 inches in a foot, 4 inches is equal to 4/12 = 1/3 feet.
Plugging the values into the formula, we have V = π(6 feet)^2(1/3 feet) = 36π/3 = 12π cubic feet.
The volume of dirt needed for the flower garden is 12π cubic feet.