What is the surface area of this right circular cone?

Mathematics

1 answer:

docker41 [41]3 years ago

3 0

Answer:

○ B) 624π mm.²

Step-by-step explanation:

$\pi r(r + \sqrt{ {r}^{2} + {h}^{2}}) = S. A. \\ \\ \pi (12)(12 + \sqrt{{12}^{2} + {40}^{2}}) \\ \\ 12\pi(12 + \sqrt{1744}) = 12\pi(12 + 38) = 12\pi(50) = 600\pi \\ \\ 600\pi ≈ 624\pi$

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Here is the graph for a visual: