The height of the segment from the apex of the cone to the base is 10 feet. The length of the diameter of the circular base is 4 feet.
Calculate the volume
To calculate the volume of the segment, we need to know the radius of the circular base and the height of the segment. Since we are given the diameter of the circular base, we can find the radius by dividing the diameter by 2.
Given:
Diameter of the circular base = 4 feet
Radius (r) = Diameter (d) / 2 = 4 feet / 2 = 2 feet
Height of the segment (h) = 10 feet
Now, we can calculate the volume of the cone segment using the formula: V = (1/3) * π * r^2 * h
Substituting the values:
V = (1/3) * π * (2 feet)^2 * 10 feet
V = (1/3) * π * 4 square feet * 10 feet
V = (1/3) * π * 40 cubic feet
Finally, multiplying the value of π (pi) and 40 cubic feet, we get:
V ≈ 41.89 cubic feet (rounded to two decimal places)
Therefore, the volume of the cone segment is approximately 41.89 cubic feet.