Volume of a cone with diameter 20yd and a height of 20yd
To find the volume of a cone, you can use the formula:
Volume = (1/3) * π * r^2 * h
where π is the mathematical constant pi (approximately 3.14159), r is the radius of the base, and h is the height of the cone.
Given that the diameter of the cone is 20 yards, we can find the radius by dividing the diameter by 2:
Radius = diameter / 2 = 20 yd / 2 = 10 yd
Now we can substitute the values into the volume formula:
Volume = (1/3) * π * (10 yd)^2 * 20 yd
Simplifying further:
Volume = (1/3) * 3.14159 * 100 yd^2 * 20 yd
Volume = (1/3) * 314.159 yd^3 * 20 yd
Volume ≈ 20,942.48 yd^3
Therefore, the volume of the cone is approximately 20,942.48 cubic yards.
To find the volume of a cone, you can use the formula V = (1/3) * π * r^2 * h, where V represents volume, π (pi) is a mathematical constant approximately equal to 3.14159, r is the radius of the cone's base, and h is the height of the cone.
In this case, the diameter of the cone is given as 20 yards. To find the radius, you need to divide the diameter by 2:
Radius (r) = Diameter / 2 = 20yd / 2 = 10yd
Now, you have all the information needed to calculate the volume. The height (h) is given as 20 yards, and the radius (r) is calculated as 10 yards.
Substituting these values into the formula:
V = (1/3) * π * r^2 * h
= (1/3) * 3.14159 * (10yd)^2 * 20yd
= (1/3) * 3.14159 * 100yd^2 * 20yd
≈ 1047.2yd^3
Therefore, the volume of the cone is approximately 1047.2 cubic yards.
1246.85 yd
recall that
v = 1/3 πr^2 h
just plug in your numbers