To find the volume of the cone-shaped water tank, we can use the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
where r is the radius of the base of the cone and h is the height of the cone.
Given that the diameter of the tank is 12 feet, the radius (r) would be half of that:
r = 12 / 2 = 6 feet
Now we can plug in the values for r and h into the formula:
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
Therefore, the water tank can hold approximately 565.2 cubic feet of water.
Question
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
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1 answer