First, we need to calculate the volume of water that was transferred from Container A to Container B.
Volume of water in Container A = πr^2h
= π(4)^2(11)
= 176π cubic feet
Volume of water in Container B = πr^2h
= π(3)^2(18)
= 162π cubic feet
Volume of water transferred from Container A to Container B = 176π - 162π
= 14π cubic feet
Now, we need to calculate the volume of the empty space inside Container A after the pumping is complete.
Volume of Container A = πr^2h
= π(4)^2(11)
= 176π cubic feet
Volume of empty space inside Container A = Volume of Container A - Volume of water transferred
= 176π - 14π
= 162π cubic feet
Therefore, the volume of the empty space inside Container A is approximately 508.9 cubic feet rounded to the nearest tenth of a cubic foot.
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 8 feet and a height of 11 feet. Container B has a diameter of 6 feet and a height of 18 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?
1 answer