| 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 ank hold? Round your answer to the nearest tenth and use 3.14 or T.
We know that the formula to calculate the volume of a cone is:
V = (1/3) * π * r^2 * h
Where V is the volume, π is a constant (approximately 3.14 or T), 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 it by 2:
radius = diameter / 2 = 12 / 2 = 6 feet
Using the given height of 15 feet, we can now calculate the volume of the water tank:
V = (1/3) * 3.14 * (6^2) * 15
V = (1/3) * 3.14 * 36 * 15
V ≈ (1/3) * 3.14 * 540
V ≈ (1/3) * 1695.6
V ≈ 565.2 cubic feet
So, the tank can hold approximately 565.2 cubic feet of water.