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We are to count the number of sequences of length 5 (representing layers), where: - Crankk.io

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📝 Recent Posts

Compute numerically: \( \frac{2}{11\pi} \approx \frac{2}{34.5575} \app...
Then \( h = \frac{0.5}{\pi (0.387)^2} \approx \frac{0.5}{0.470} \appro...
Now compute areas:
Lateral area: \( 2\pi r h \approx 2\pi \cdot 0.387 \cdot 1.064 \approx...
Top and bottom: \( 2\pi r^2 \approx 2\pi \cdot 0.150 \approx 0.942 \)...
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 close...
Alternatively, accept numerical answer rounded to nearest cent: $155.0...
Instead, for exactness, compute cost exactly:
From \( C(r) = \frac{40}{r} + 110\pi r^2 \), with \( r^3 = \frac{2}{11...

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