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?

Answer 1

First, we need to convert the thickness of the layer of dirt from inches to feet. There are 12 inches in a foot, so 4 inches is equal to 4/12 = 1/3 feet.
The radius of the circular flower garden is half of the diameter, so the radius is 12/2 = 6 feet.
The volume of the dirt needed for the flower garden can be calculated using the formula for the volume of a cylinder, which is V = πr^2h, where V is the volume, π is a constant (approximately 3.14159), r is the radius, and h is the height or thickness.
Substituting in the values we know, the volume is V = 3.14159 * 6^2 * 1/3 = 3.14159 * 36 * 1/3 = 37.699.
Therefore, the volume of dirt needed for the flower garden is approximately 37.699 cubic feet.