Answer:
200.3 in²
Explanation:
The area of the top of the cylinder is precisely the area of the cube that the cylinder covers. In other words, the total of that area and the visible area of the cube is precisely equal to the area of the cube with no added parts.
So, the added cylinder only increases the total area by the area of its curved surface. That area is the product of its circumference and height.
cylinder lateral area: π·d·h = π·(4 in)(4 in) = 16π in² ≈ 50.3 in²
cube surface area: 6·(5 in)² = 150 in²
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total surface area = cube surface area + cylinder lateral area
total surface area = (150 +50.3) in²
total surface area =200.3 in²