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Home » \[ 6 \times 9\sqrt3 = 54\sqrt3 \] - DNSFLEX

\[ 6 \times 9\sqrt3 = 54\sqrt3 \] - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 ight) = x^2 + y^2 + z^2.

📌 Multiply through:

📌 9c^2 - rac{9c^2 z^2}{x^2 + y^2 + z^2} = x^2 + y^2 + z^2.

📌 Multiply both sides by \(x^2 + y^2 + z^2\):

📌 9c^2(x^2 + y^2 + z^2) - 9c^2 z^2 = (x^2 + y^2 + z^2)^2.

📌 9c^2(x^2 + y^2) = (x^2 + y^2 + z^2)^2.

📌 This is the equation of a **torus** centered along the \(z\)-axis with major radius \(3c\) and minor radius \(3c\), but more precisely, from the original form \(

📌 ho = 3c \sin(\phi)\), this describes a **sphere** of radius \(rac{3c}{2}\) centered at \((0, 0, rac{3c}{2})\) in Cartesian coordinates. To verify, note that:

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