Answer:
276.460 mi²
Explanation:
You want the surface area of a cylinder with radius 4 mi and height 7 mi.
Area
The area of a cylinder is given by the formula ...
A = 2πr(r +h)
A = 2π(4 mi)(4 mi +7 mi) = 88π mi² ≈ 276.460 mi²
The area of the cylinder is about 276.460 square miles.
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Additional comment
The surface area is the sum of the areas of the two circular bases and the lateral area. The lateral area is the product of the cylinder height and circumference. These are combined in the formula given.
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