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Home » Shocked to Learn These 5 Hardest Pronounced Words in English? - Crosslake

Shocked to Learn These 5 Hardest Pronounced Words in English? - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 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, \(

📌 ho = 2a \sin\phi\) represents a sphere of radius \(a\) centered at \((0, 0, a)\).

📌 Compare: \(

📌 ho = c \sin\phi = 2 \cdot rac{c}{2} \sin\phi\) â sphere of radius \(rac{c}{2}\), centered at \((0, 0, rac{c}{2})\).

📌 Thus, the shape is a **sphere** of radius \(rac{c}{2}\) centered at \((0, 0, rac{c}{2})\).

📌 oxed{ ext{a sphere of radius } \dfrac{c}{2} ext{ centered at } \left(0,\ 0,\ \dfrac{c}{2}

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