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To find the surface area of the cylinder, we need to use the formula: S.A. = 2πrh + 2πr^2
Given that the radius (r) is 4 m and the height (h) is 6 m, we can substitute these values into the formula:
S.A. = 2π(4)(6) + 2π(4)^2
S.A. = 2π(24) + 2π(16)
S.A. = 48π + 32π
S.A. = 80π
To find the approximate value, we can use the approximation 3.14159 for π:
S.A. ≈ 80 * 3.14159
S.A. ≈ 251.3
Rounding to the nearest tenth, the surface area of the cylinder is approximately 251.3 m^2.
Therefore, the correct answer is 251.3 m^2.