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ight) = c r - racr^3c - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Zuerst berechnen Sie das Volumen des Kegels: V = (1/3)πr²h = (1/3)π(5²)(12) = (1/3)π(25)(12) = 100π cm³.

📌 Nun verwenden Sie das Volumen des Kegels, um die Höhe des Wassers im Zylinder zu finden. Das Volumen des Zylinders wird durch V = πr²h gegeben. Stellen Sie die Gleichung mit bekannten Werten auf: 100π = π(10²)h = 100πh.

📌 Lösen Sie nach h: h = 100π / 100π = 1 cm.

📌 Zwei Züge starten gleichzeitig vom selben Bahnhof, einer fährt mit 60 km/h nach Osten und der andere mit 80 km/h nach Norden. Nach wie vielen Stunden werden die Züge 200 km voneinander entfernt sein?

📌 Die Bewegung der Züge bildet ein rechtwinkliges Dreieck, wobei der Abstand zwischen ihnen die Hypotenuse ist. Verwenden Sie den Satz des Pythagoras: d² = x² + y², wobei d = 200 km, x = 60t km/h, y = 80t km/h.

📌 Setzen Sie die Werte ein: 200² = (60t)² + (80t)² = 3600t² + 6400t² = 10000t².

📌 Lösen Sie nach t: 40000 = 10000t²; t² = 4; t = 2 Stunden.

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