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Home » Volume of sphere: \( \frac43\pi r^3 \). - DNSFLEX

Volume of sphere: \( \frac43\pi r^3 \). - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Die lineare Ausdehnung eines Metalls etwa 10 Meter lang betrÃ¤gt bei einer TemperaturerhÃ¶hung um 50Â°C um 0,2 mm. Wie groÃ ist der lineare Ausdehnungskoeffizient Î± (in 1/Â°C)?

📌 Formel: ÎL = Î±Â·LâÂ·ÎT â Î± = ÎL / (LâÂ·ÎT)

📌 ÎL = 0,2 mm = 0,0002 m, Lâ = 10 m, ÎT = 50Â°C

📌 Î± = 0,0002 / (10Â·50) = 0,0002 / 500 = 4Ã10â»â· 1/Â°C

📌 #### 4e-07**Question:** How many lattice points lie on the ellipse defined by \(4x^2 + 9y^2 = 36\)?

📌 First, simplify the equation of the ellipse:

📌 rac{x^2}{9} + rac{y^2}{4} = 1

📌 This represents an ellipse centered at the origin with semi-major axis \(a = 3\) and semi-minor axis \(b = 2\).

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