Question

Calculate the surface area of the cylinder. Give both exact and approximate answers. Round the approximate answer to the nearest hundredth. Use π=3.14 .

Answer 1

[AI-generated answer — Bot GPT 3.5]

Given:

Radius (r) = 4 cm
Height (h) = 8 cm

Exact answer:
Surface Area = 2πrh + 2πr^2
Surface Area = 2(3.14)(4)(8) + 2(3.14)(4)^2
Surface Area = 200.96 + 100.48
Surface Area = 301.44 cm²

Approximate answer:
Surface Area = 2(3.14)(4)(8) + 2(3.14)(4)^2
Surface Area ≈ 2(3.14)(4)(8) + 2(3.14)(16)
Surface Area ≈ 100.48 + 100.48
Surface Area ≈ 200.96 cm²

Therefore, the surface area of the cylinder is 301.44 cm² (exact) or 200.96 cm² (approximate).