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Home » Shocking Truths About Dr. Doom: The Scientist Redefining Reality! - Baxtercollege

Shocking Truths About Dr. Doom: The Scientist Redefining Reality! - Baxtercollege

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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The total cost includes: lateral surface (\(2\pi r h \times 40\)) and...
Express \( h \) in terms of \( r \): \( h = \frac{0.5}{\pi r^2} \).
Lateral area: \( A_{\text{lav}} = 2\pi r h = 2\pi r \cdot \frac{0.5}{\...
Top and bottom area: \( A_{\text{topb}} = 2\pi r^2 \)
Total cost:
C(r) = 40 \cdot \frac{1}{r} + 55 \cdot 2\pi r^2 = \frac{40}{r} + 110\p...
To minimize, take derivative:
C'(r) = -\frac{40}{r^2} + 220\pi r
220\pi r = \frac{40}{r^2} \Rightarrow r^3 = \frac{40}{220\pi} = \frac{...
\Rightarrow r = \left( \frac{2}{11\pi} \right)^{1/3}

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