Find the volume of a right circular cone that has a height of 12.5 m and a base with a radius of 2.2 m. Round your answer to the nearest tenth of a cubic meter.
The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.
Plugging in the values, we get:
V = (1/3)π(2.2)^2(12.5)
V = (1/3)π(4.84)(12.5)
V = (1/3)(60.5)π
V = 20.2π
Using π ≈ 3.14159, we can calculate the approximate volume:
V ≈ 20.2(3.14159)
V ≈ 63.5 cubic meters
Therefore, the volume of the cone is approximately 63.5 cubic meters.