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Home » P = 2(\textlength + \textwidth) = 2(2w + w) = 48 - AssociationVoting

P = 2(\textlength + \textwidth) = 2(2w + w) = 48 - AssociationVoting

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 But \(r^2 + z^2 = x^2 + y^2 + z^2\), and \(r = \sqrt{x^2 + y^2}\), so:

📌 Now square both sides carefully:

📌 This is not a sphere â it's a **quartic surface**. But wait: earlier we had:

📌 Let \(r = \sqrt{x^2 + y^2}\), so:

📌 r^2 + z^2 = c r \Rightarrow r^2 - c r + z^2 = 0

📌 This is a **circular cylinder**? No â it's quadratic. But geometrically, the surface \(

📌 ho = c \sin\phi\) is a **sphere tangent to the xy-plane** at the origin.

📌 Standard result: In spherical coordinates, \(

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