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) cubic feet
The radius of the cone is half the diameter, so it is 12/2 = <<12/2=6>>6 feet.
The volume of a cone is given by the formula V = (1/3)πr^2h, where V is the volume, π is approximately 3.14, r is the radius, and h is the height.
Plugging in the values, we have V = (1/3)(3.14)(6^2)(15).
Simplifying, we have V = (1/3)(3.14)(36)(15) = (1/3)(3.14)(540) = (1/3)(1695.6) = 565.2 cubic feet.
Rounded to the nearest tenth, the tank can hold 565.2 cubic feet of water. Answer: \boxed{565.2}.