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Home » $ r = 2r \Rightarrow r = 0 $. - Coaching Toolbox

$ r = 2r \Rightarrow r = 0 $. - Coaching Toolbox

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 \( 49 + 576 = 625 \) であるため、この三角形は直角三角形です。

📌 半径6cmの球を溶かして、同じ半径の楕円丘に再成形します。楕円丘の高さはいくつですか？

📌 V = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi \times 6^3 = \frac{4}{3} \pi \times 216 = 288\pi \text{ 立方センチメートル}

📌 楕円丘の体積 \( V_{\text{cone}} \) は \( \frac{1}{3} \pi r^2 h \) です。体積が保存されるため：

📌 288\pi = \frac{1}{3} \pi \times 6^2 \times h

📌 = \frac{1}{3} \times 36 \times h

📌 = 12h \quad \Rightarrow \quad h = \frac{288}{12} = 24 \text{ センチメートル}

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