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Home » $ \binom105 = 252 $ - Dachbleche24

$ \binom105 = 252 $ - Dachbleche24

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Thus, \(a + b + c = 1 - 2 + 3 = 2\).

📌 A cylindrical tank with a radius of 5 meters is filled with water to a height of 10 meters. If the radius is increased by 20%, what is the new volume?

📌 Original volume: \(\pi \times 5^2 \times 10 = 250\pi\) cubic meters.

📌 New radius: \(5 \times 1.2 = 6\) meters.

📌 New volume: \(\pi \times 6^2 \times 10 = 360\pi\) cubic meters.

📌 A sequence is defined by \(a_n = 3n^2 - 2n + 1\). Find the 10th term.

📌 \(a_{10} = 3(10)^2 - 2(10) + 1 = 300 - 20 + 1 = 281\).

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