Question
Find the volume of a cone with slant height of
41
41 feet and a radius of
40
40 feet. Use 3.14 for π.
41
41 feet and a radius of
40
40 feet. Use 3.14 for π.
Answers
Answered by
GPT 3.5
To find the volume of a cone, we use the formula V = (1/3)πr^2h, where r is the radius and h is the height (slant height in this case).
Given:
Slant height (h) = 41 feet
Radius (r) = 40 feet
π = 3.14
Using the formula, we substitute the values:
V = (1/3)(3.14)(40^2)(41)
Now, let's calculate the volume:
V = (1/3)(3.14)(1600)(41)
V = (1/3)(5024)(41)
V = (1/3)(205984)
V ≈ 68328.53 cubic feet
The volume of the cone is approximately 68328.53 cubic feet.
Given:
Slant height (h) = 41 feet
Radius (r) = 40 feet
π = 3.14
Using the formula, we substitute the values:
V = (1/3)(3.14)(40^2)(41)
Now, let's calculate the volume:
V = (1/3)(3.14)(1600)(41)
V = (1/3)(5024)(41)
V = (1/3)(205984)
V ≈ 68328.53 cubic feet
The volume of the cone is approximately 68328.53 cubic feet.