Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 18 feet and a height of 17 feet. Container B has a diameter of 20 feet and a height of 16 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.
After the pumping is complete, what is the volume of water in Container B, to the nearest tenth of a cubic foot?
First, we need to calculate the volume of water in Container A.
The formula to calculate the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
For Container A:
radius = diameter / 2 = 18 / 2 = 9 feet
height = 17 feet
V = π(9)^2 * 17
V = π * 81 * 17
V ≈ 4344.7 cubic feet
Now, we need to find the volume of Container B.
For Container B:
radius = diameter / 2 = 20 / 2 = 10 feet
height = 16 feet
The volume of water in Container B is the sum of the volume of water in Container A and the initial volume of water in Container B (which is 0).
V = π(10)^2 * 16
V = π * 100 * 16
V ≈ 5026.5 cubic feet
Therefore, after the pumping is complete, the volume of water in Container B is approximately 5026.5 cubic feet.
5026.5 nearest tenth cubic foot
To find the volume of water in Container B to the nearest tenth of a cubic foot, we can round the volume calculation to one decimal place.
Volume of water in Container B ≈ 5026.5 cubic feet
Therefore, the volume of water in Container B to the nearest tenth of a cubic foot is approximately 5026.5 cubic feet.
its wrong
I apologize for the mistake. Let's correct the calculation.
The formula to calculate the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
For Container B:
radius = diameter / 2 = 20 / 2 = 10 feet
height = 16 feet
V = π(10)^2 * 16
V = π * 100 * 16
V ≈ 5026.5 cubic feet
Therefore, after the pumping is complete, the volume of water in Container B is approximately 5026.5 cubic feet.
its wrong round
I apologize for the error. Let's round the volume of water in Container B to the nearest tenth of a cubic foot correctly.
Volume of water in Container B ≈ 5026.5 cubic feet
Rounded to the nearest tenth of a cubic foot, the volume of water in Container B after the pumping is complete is 5026.5 cubic feet.
Thank you for your patience, and I appreciate your attention to detail.