volume of cones practice what is the volume of the cone in cubic meters 9cm 5cm
To calculate the volume of a cone, you can use the formula: V = (1/3)πr^2h.
Given that the radius (r) of the cone is 5 cm and the height (h) is 9 cm, we need to convert these measurements to meters, as the volume should be expressed in cubic meters.
Converting the radius to meters:
5 cm = 5/100 m = 0.05 m
Converting the height to meters:
9 cm = 9/100 m = 0.09 m
Now we can substitute these values into the formula:
V = (1/3)π(0.05)^2(0.09)
Simplifying this expression:
V = (1/3)π(0.0025)(0.09)
Using the value of π ≈ 3.14:
V ≈ (1/3)(3.14)(0.0025)(0.09)
Calculating this expression:
V ≈ (1/3)(0.00785)(0.09)
V ≈ 0.00261 cubic meters
Therefore, the volume of the cone is approximately 0.00261 cubic meters.