To find the volume of the empty space inside Container A after the water is pumped into Container B, we first need to calculate the volume of water that was initially in Container A.
The formula to find the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
For container A:
Radius = 8 feet / 2 = 4 feet
Height = 14 feet
V(A) = π(4)^2(14)
V(A) = 704π cubic feet
Now, we need to find the volume of water that was pumped from Container A to Container B, which is the same as the volume of Container B.
For container B:
Radius = 10 feet / 2 = 5 feet
Height = 5 feet
V(B) = π(5)^2(5)
V(B) = 125π cubic feet
The volume of the empty space in Container A after pumping the water into Container B is:
Empty space = V(A) - V(B)
Empty space = 704π - 125π
Empty space ≈ 579.7 cubic feet
Therefore, the volume of the empty space inside Container A is approximately 579.7 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 8 feet and a height of 14 feet. Container B has a diameter of 10 feet and a height of 5 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