Answer: ≈ 7 feetStep-by-step explanation:To find the height of the cylinder, we can use the following formula:Volume = π * radius^2 * heightwhere:Volume = 549.5 cubic feetradius = 5 feetπ (pi) is approximately 3.14159Substituting these values into the formula, we get:549.5 = 3.14159 * 5^2 * heightSimplifying, we get:549.5 = 78.53975 * heightDividing both sides by 78.53975, we get:height = 549.5 / 78.53975height ≈ 7 feetTherefore, the height of the cylinder is approximately 7 feet.