Explanation:
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
Container A has a volume of V_A = π(4^2)(10) = 160π cubic feet.
Container B has a volume of V_B = π(3^2)(18) = 162π cubic feet.
When the water is transferred from Container A to Container B, the volume of water transferred is equal to the volume of Container A, which is 160π cubic feet.
The volume of water in Container B after the transfer is V_B' = V_A + V_B = 160π + 162π = 322π cubic feet.
The percent of Container B that is full after the transfer is (V_B' / V_B) x 100%.
Substituting the values we have:
(V_B' / V_B) x 100% = (322π / 162π) x 100% = 198.77%
Rounding this to the nearest tenth, we get that Container B is approximately 198.8% full after the transfer. However, since this value is greater than 100%, we can conclude that Container B is completely full, and there is an additional 98.8% of its volume that is empty.