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 π
The radius of the cone is half the diameter, so the radius is 12/2 = <<12/2=6>>6 feet.
The volume of a cone is (1/3)πr^2h.
Substituting in the given values, we get (1/3)π(6^2)(15) = (1/3)π(36)(15) = 180π.
With 3.14 ≈ π, we have 180π ≈ 180(3.14) = <<180*3.14=565.2>>565.2.
Rounding to the nearest tenth, the tank can hold approximately 565.2 cubic feet of water. Answer: \boxed{565.2}.