Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 9 feet and a height of 10 feet. Container B has a radius of 7 feet and a height of 17 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 the empty portion of Container B, to the nearest tenth of a cubic foot?
WRITE IN PI
First, we need to calculate the volume of water in Container A.
Volume of Container A = π * radius^2 * height
Volume of Container A = π * 9^2 * 10
Volume of Container A = 810π cubic feet
Next, we need to calculate the volume of Container B with the water from Container A.
Volume of Container B = π * radius^2 * height
Volume of Container B = π * 7^2 * 17
Volume of Container B = 809π cubic feet
After pumping the water from Container A to Container B, the empty portion of Container B can be calculated.
Empty portion of Container B = Volume of Container B - Volume of water in Container A
Empty portion of Container B = 809π - 810π
Empty portion of Container B ≈ -π cubic feet (approximated to the nearest tenth of a cubic foot)
Therefore, the volume of the empty portion of Container B, to the nearest tenth of a cubic foot, is approximately -π cubic feet. This result indicates that after the water is pumped from Container A to Container B, Container B should be completely filled and there should not be an empty portion.