Explanation:
To find the volume of a right circular cone, we can use the formula:
Volume = (1/3) * π * r^2 * h
Where:
π is a mathematical constant approximately equal to 3.14159
r is the radius of the cone's base
h is the height of the cone
Given that the diameter of the base is 11.9 ft, we can find the radius by dividing the diameter by 2:
Radius (r) = 11.9 ft / 2 = 5.95 ft
Using the given height of 3.5 ft, we can substitute these values into the volume formula:
Volume = (1/3) * 3.14159 * (5.95 ft)^2 * 3.5 ft
Volume ≈ 62.273 ft^3
Rounded to the nearest tenth, the volume of the right circular cone is approximately 62.3 cubic feet.