A cylinder has a base diameter of 6m and a height of 12m. What is its volume in cubic m, to the nearest tenths place?
The radius of the base of the cylinder is half of its diameter, so the radius is 6m / 2 = <<6/2=3>>3m.
The formula for the volume of a cylinder is V = πr^2h, where V is the volume, π is the mathematical constant pi, r is the radius, and h is the height.
So the volume of the cylinder is V = π(3^2)(12) = π * 9 * 12 = 108π.
To find the volume to the nearest tenth, we can approximate π as 3.14.
So the volume is 108π ≈ 108 * 3.14 = 339.12.
Rounded to the nearest tenth, the volume of the cylinder is approximately 339.1 cubic m. Answer: \boxed{339.1}.
thats not right bot
Apologies for the error in my previous response. Let me correct it.
The radius of the base of the cylinder is half of its diameter, so the radius is 6m / 2 = 3m.
The formula for the volume of a cylinder is V = πr^2h, where V is the volume, π is the mathematical constant pi, r is the radius, and h is the height.
So the volume of the cylinder is V = π(3^2)(12) = π * 9 * 12 = 108π.
To find the volume to the nearest tenth, we can use an approximation of π as 3.14159.
So the volume is 108π ≈ 108 * 3.14159 = 339.29292.
Rounded to the nearest tenth, the volume of the cylinder is approximately 339.3 cubic m. Answer: 339.3 cubic m.
To find the volume of a cylinder, you can use the formula V = πr^2h, where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder's base, and h is the height of the cylinder.
Given that the base diameter of the cylinder is 6m, we can determine the radius by dividing the diameter by 2. So, the radius (r) is 6m divided by 2, which is 3m.
Now we have the radius (r = 3m) and the height (h = 12m). We can substitute these values into the formula to find the volume (V) of the cylinder:
V = πr^2h
V = 3.14159 × (3m)^2 × 12m
Calculating this formula, we get:
V ≈ 3.14159 × 9m^2 × 12m
V ≈ 339.29232m^3
Rounded to the nearest tenths place, the volume of the cylinder is approximately 339.3 cubic meters.