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Home » Track, Win, and Save Time — MyRacePass Is Taking the Racing World by Storm! - Deep Underground Poetry

Track, Win, and Save Time — MyRacePass Is Taking the Racing World by Storm! - Deep Underground Poetry

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 C'(r) = -\frac{40}{r^2} + 220\pi r

📌 220\pi r = \frac{40}{r^2} \Rightarrow r^3 = \frac{40}{220\pi} = \frac{2}{11\pi}

📌 \Rightarrow r = \left( \frac{2}{11\pi} \right)^{1/3}

📌 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

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