To solve this problem, we need to calculate the volume of water in Container A, the volume of Container B, and subtract the volume of water from Container B from the volume of Container A.
The volume of water in Container A can be found using the formula for the volume of a cylinder:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
For Container A, we have:
V(A) = π(6^2)(15)
V(A) = 1,620π
The volume of Container B can be found using the same formula:
V(B) = π(7^2)(8)
V(B) = 1,232π
After pumping the water from Container A into Container B, Container B is completely full, which means its volume is equal to the volume of the water from Container A.
So, the volume of water in Container A is:
V(water) = V(B)
V(water) = 1,232π
To find the volume of the empty space inside Container A, we need to subtract the volume of water in Container A from the total volume of Container A:
V(empty space) = V(A) - V(water)
V(empty space) = 1,620π - 1,232π
V(empty space) = 388π
V(empty space) ≈ 1,219.8 cubic feet
Therefore, the volume of the empty space inside Container A is approximately 1,219.8 cubic feet (rounded to the nearest tenth of a cubic foot).
Hope you understood it...