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semsee45

Answer:

320 ft²  (nearest whole number)

Step-by-step explanation:

Given:

  • height of fence post = 8 ft
  • diameter of fence post = 1 ft  ⇒  radius = 0.5 ft
  • total number of posts = 12
  • π = 3.14

Surface area of a cylinder = 2πr² + 2πrh

⇒ SA of one fence post = 2 · 3.14 · 0.5² + 2 · 3.14 · 0.5 · 8

                                       = 1.57 + 25.12

                                       = 26.69 ft²

As there are 12 fence posts,

Total paint needed = 12 × 26.69

                                = 320.28 ft²

                                = 320 ft² (nearest whole number)

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