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Home » Recompute: 3n² + 7n - 220 = 0 - Aurero

Recompute: 3n² + 7n - 220 = 0 - Aurero

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 The volume \(V\) of a sphere with radius \(r\) is given by:

📌 Substituting \(r = 2y\), we find:

📌 V_{\text{sphere}} = \frac{4}{3} \pi (2y)^3 = \frac{4}{3} \pi \cdot 8y^3 = \frac{32}{3} \pi y^3

📌 Now, compute the ratio of the volume of the cone to the volume of the sphere:

📌 \frac{V_{\text{cone}}}{V_{\text{sphere}}} = \frac{12\pi y^3}{\frac{32}{3} \pi y^3} = \frac{12}{\frac{32}{3}} = 12 \cdot \frac{3}{32} =

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