First, we need to calculate the volume of water in Container A and Container B.
Volume of Container A:
Radius of Container A = Diameter / 2 = 18 feet / 2 = 9 feet
Volume of Container A = π * (radius)^2 * height
Volume of Container A = π * (9)^2 * 16
Volume of Container A ≈ 3621.2 cubic feet
Volume of Container B:
Radius of Container B = Diameter / 2 = 12 feet / 2 = 6 feet
Volume of Container B = π * (radius)^2 * height
Volume of Container B = π * (6)^2 * 20
Volume of Container B ≈ 2261.9 cubic feet
Now, the remaining empty space inside Container A after pumping all the water into Container B:
Empty space in Container A = Volume of Container A - Volume of Container B
Empty space in Container A = 3621.2 - 2261.9
Empty space in Container A ≈ 1359.3 cubic feet
Therefore, the volume of the empty space inside Container A is approximately 1359.3 cubic feet.
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 16 feet. Container B has a diameter of 12 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Container B is completely full.
After the pumping is complete, what is the volume of the empty space inside Container A, to the nearest tenth of a cubic foot?
3 answers
Wrong give different answer
Let's revisit the calculations.
Volume of Container A:
Radius of Container A = Diameter / 2 = 18 feet / 2 = 9 feet
Volume of Container A = π * (radius)^2 * height
Volume of Container A = π * (9)^2 * 16
Volume of Container A ≈ 4069.7 cubic feet
Volume of Container B:
Radius of Container B = Diameter / 2 = 12 feet / 2 = 6 feet
Volume of Container B = π * (radius)^2 * height
Volume of Container B = π * (6)^2 * 20
Volume of Container B ≈ 2261.9 cubic feet
Empty space in Container A = Volume of Container A - Volume of Container B
Empty space in Container A = 4069.7 - 2261.9
Empty space in Container A ≈ 1807.8 cubic feet
Therefore, the volume of the empty space inside Container A after pumping all the water into Container B is approximately 1807.8 cubic feet.
Volume of Container A:
Radius of Container A = Diameter / 2 = 18 feet / 2 = 9 feet
Volume of Container A = π * (radius)^2 * height
Volume of Container A = π * (9)^2 * 16
Volume of Container A ≈ 4069.7 cubic feet
Volume of Container B:
Radius of Container B = Diameter / 2 = 12 feet / 2 = 6 feet
Volume of Container B = π * (radius)^2 * height
Volume of Container B = π * (6)^2 * 20
Volume of Container B ≈ 2261.9 cubic feet
Empty space in Container A = Volume of Container A - Volume of Container B
Empty space in Container A = 4069.7 - 2261.9
Empty space in Container A ≈ 1807.8 cubic feet
Therefore, the volume of the empty space inside Container A after pumping all the water into Container B is approximately 1807.8 cubic feet.