What is the volume of the cone to the nearest cubic meter use pi=3.14 radius=4m circumference=5m
First, let's find the height of the cone. We know that the circumference of the base (which is the same as the circumference of the circle with radius 4m) is given by:
C = 2πr
Plugging in the given values, we have:
5m = 2π(4m)
Dividing both sides by 2π:
5m / (2π) ≈ 0.7958m
So, the height of the cone is approximately 0.7958m.
Now, we can calculate the volume of the cone using the formula:
V = (πr^2h) / 3
Plugging in the values we have:
V = (3.14)(4m)^2(0.7958m) / 3
V ≈ 33.4931733m^3
Therefore, the volume of the cone, rounded to the nearest cubic meter, is approximately 33m^3.