What is the volume of the cone rounded to the nearest tenth?
The height of the cone is 19 yd.
Radius: 7 yd
To find the volume of a cone, we use the formula V = 1/3πr^2h, where r is the radius and h is the height.
Plugging in the given values, we get:
V = 1/3π(7 yd)^2(19 yd)
V = 1/3π(49 yd^2)(19 yd)
V = 1/3π(931 yd^3)
V ≈ 977.9 yd^3
Rounding to the nearest tenth, the volume of the cone is approximately 977.9 yd^3.
To find the volume of a cone, you can use the formula:
V = (1/3) * π * r^2 * h
Where:
V = Volume
π = Pi (approximately 3.14159)
r = Radius
h = Height
Given that the radius (r) is 7 yards and the height (h) is 19 yards, we can substitute these values into the formula:
V = (1/3) * π * (7 yd)^2 * 19 yd
V ≈ (1/3) * 3.14159 * (49 yd^2) * 19 yd
V ≈ (0.33333) * 3.14159 * 49 * 19 yd^3
V ≈ 61.9153 yd^3
Rounding to the nearest tenth, the volume of the cone is approximately 61.9 cubic yards.