A water tank in the shape of a cone has a diameter of 12 feet and a height of 15 feet. What volume of water, in cubic feet, can the tank hold? Round your answer to the nearest tenth and use 3.14 for pi.
The radius of the cone is half the diameter, so the radius is 12 / 2 = <<12/2=6>>6 ft.
The volume of a cone is (1/3)πr^2h, so the water tank can hold (1/3) × 3.14 × 6^2 × 15 = 3.14 × 6^2 × 5 ≈ 3.14 × 36 × 5 = 565.2 cubic feet of water. Answer: \boxed{565.2}.