First, we need to calculate the volume of water that was transferred from Container A to Container B.
The volume of water in Container A can be calculated using the formula for the volume of a cylinder: V = πr^2h, where r is the radius and h is the height.
For Container A:
r = 14/2 = 7 feet
h = 8 feet
V_A = π(7)^2(8)
V_A ≈ 1234.7 cubic feet
For Container B:
r = 12/2 = 6 feet
h = 9 feet
V_B = π(6)^2(9)
V_B ≈ 1017.9 cubic feet
So, the volume of water transferred from Container A to Container B is:
V_water = V_A - V_B
V_water ≈ 1234.7 - 1017.9
V_water ≈ 216.8 cubic feet
Now, since Container B is completely full, the remaining empty space inside Container A is:
V_empty = V_A - V_water
V_empty ≈ 1234.7 - 216.8
V_empty ≈ 1017.9 cubic feet
Therefore, the volume of the empty space inside Container A is approximately 1017.9 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 14 feet and a height of 8 feet. Container B has a diameter of 12 feet and a height of 9 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
1 answer