Answer:
320 ft² (nearest whole number)
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)