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 volume of a cone can be found using the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Given that the diameter of the water tank is 12 feet, we can find the radius by dividing the diameter by 2: r = 12/2 = 6 feet.
The height of the water tank is given as 15 feet.
Plugging these values into the formula, we get:
V = (1/3)(3.14)(6^2)(15)
V = (1/3)(3.14)(36)(15)
V = (1/3)(3.14)(540)
V = 565.2 cubic feet
Rounding to the nearest tenth, the volume of water the tank can hold is approximately 565.2 cubic feet.