Find the volume of a right circular cone that has a height of 12.4 in and a base with a diameter of 15.6 in. Round your answer to the nearest tenth of a cubic inch.
To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height.
First, find the radius of the base:
The diameter of the base is 15.6 inches, so the radius is half of that:
r = 15.6 / 2
r = 7.8 inches
Now, we can calculate the volume:
V = (1/3)π(7.8)^2(12.4)
V = (1/3)π(60.84)(12.4)
V = (1/3)π(754.416)
V ≈ 785.4 cubic inches
Therefore, the volume of the cone is approximately 785.4 cubic inches.