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Home » But the problem likely intends a power of 2. - Dachbleche24

But the problem likely intends a power of 2. - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Solution: The given equation in spherical coordinates is \(

📌 ho = 3c \sin(\phi)\). To understand the shape, we convert to Cartesian coordinates using the transformations:

📌 ho = 3c \sin(\phi)\) into \(z =

📌 z = 3c \sin(\phi) \cos(\phi) = rac{3c}{2} \sin(2\phi).

📌 Now express \(

📌 ho^2 = x^2 + y^2 + z^2\):

📌 But \(\sin^2\phi = 1 - \cos^2\phi = 1 - \left(rac{z}{

📌 ight)^2 = 1 - rac{z^2}{x^2 + y^2 + z^2}\). So:

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