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Home » What the Legions Too Late—Reveal of the Mysterious Legion Marvel Universe! - Carbonext

What the Legions Too Late—Reveal of the Mysterious Legion Marvel Universe! - Carbonext

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 Compute numerically: \( \frac{2}{11\pi} \approx \frac{2}{34.5575} \approx 0.05796 \), so \( r \approx (0.05796)^{1/3} \approx 0.387 \) m

📌 Then \( h = \frac{0.5}{\pi (0.387)^2} \approx \frac{0.5}{0.470} \approx 1.064 \) m

📌 Now compute areas:

📌 Lateral area: \( 2\pi r h \approx 2\pi \cdot 0.387 \cdot 1.064 \approx 2.58 \) m²

📌 Top and bottom: \( 2\pi r^2 \approx 2\pi \cdot 0.150 \approx 0.942 \) m²

📌 Cost: \( 40 \cdot 2.58 + 55 \cdot 0.942 \approx 103.2 + 51.81 = 155.01 \)

📌 Minimum cost is approximately $155.01, but we need exact form or closest minimal expression. However, since the problem asks for minimum cost, we evaluate the function at critical point. But since this is a math competition, we keep symbolic precision.

📌 Alternatively, accept numerical answer rounded to nearest cent: $155.01 is acceptable, but competition likely expects exact minimization. However, since cost is minimized at critical point, compute cost using \( r^3 = \frac{2}{11\pi} \).

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