A cylinder has a base diameter of 8ft and a height of 20ft. What is its volume in cubic ft, to the nearest tenths place?
The radius of the base is half of the diameter, so it is 8ft / 2 = <<8/2=4>>4ft.
The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.
Plugging in the given values, V = π(4ft)²(20ft).
Simplifying further, V = π(16ft²)(20ft).
The volume is then V = 320π ft³.
To find the volume to the nearest tenths place, we must approximate the value of π as 3.14.
Therefore, the volume is approximately V ≈ 320 * 3.14 ft³ ≈ 1004.8 ft³. Answer: \boxed{1004.8}.
that isnt right bot :(
Apologies for the mistake. Let's solve it correctly.
The radius of the base is half of the diameter, so it is 8ft / 2 = 4ft.
The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.
Plugging in the given values, V = π(4ft)²(20ft).
Simplifying further, V = π(16ft²)(20ft).
The volume is then V = 320π ft³.
Approximating the value of π as 3.14, the approximate volume is:
V ≈ 320 * 3.14 ft³ ≈ 1004.8 ft³.
Therefore, the volume of the cylinder is approximately 1004.8 cubic feet, to the nearest tenth place.
To find the volume of a cylindrical shape, we use the formula:
Volume of a cylinder = π * r^2 * h
where π is a constant approximately equal to 3.14159, r is the radius of the base, and h is the height of the cylinder.
To calculate the volume of this specific cylinder, we need to know the radius of the base. The diameter of the base is given as 8 ft, so we can find the radius by dividing the diameter by 2:
Radius = Diameter / 2 = 8 ft / 2 = 4 ft
Now we have all the necessary values to calculate the volume:
Volume of cylinder = π * (radius)^2 * height
= 3.14159 * (4 ft)^2 * 20 ft
= 3.14159 * 16 ft^2 * 20 ft
≈ 3.14159 * 320 ft^3
≈ 1005.31 ft^3 (rounded to the nearest tenth)
Therefore, the volume of the cylinder, to the nearest tenths place, is approximately 1005.31 cubic feet.