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 .(1 point)
The radius of the tank is half of the diameter, so the radius is 12/2 = <<12/2=6>>6 feet.
The volume of a cone is given by the formula V = (1/3)πr^2h.
Substituting the given values, we get V = (1/3)(3.14)(6^2)(15)
Simplifying the equation gives V = (1/3)(3.14)(36)(15)
Multiplying gives V = (1/3)(3.14)(540)
Further simplifying gives V = (1/3)(1695.6)
Dividing gives V = 565.2
Rounding to the nearest tenth, we get V = 565.2 cubic feet. Answer: \boxed{565.2}.