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 calculate the volume of the circular flower garden. The formula to calculate the volume of a cylinder is V = πr^2h, where r is the radius and h is the height (or thickness in this case).

Since the diameter is 12 feet, the radius (r) would be half of that, so r = 6 feet.

Convert the height into feet: 4 inches = 4/12 = 1/3 feet.

Now plug the values into the formula: V = π(6)^2(1/3)
V = π(36)(1/3)
V = 12π

Therefore, the volume of dirt needed for the flower garden is 12π cubic feet.