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ä½ç© \(V\) ã¯æ¬¡ã®å¼ã§æ±ãããã¾ã: - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 A_{\text{cylinder}} = 2\pi r h = 2\pi x \cdot 3x = 6\pi x^2

📌 The surface area of a hemisphere (excluding the circular base) is:

📌 A_{\text{hemisphere}} = 2\pi r^2 = 2\pi x^2

📌 Adding both contributions:

📌 A_{\text{total}} = 6\pi x^2 + 2\pi x^2 = 8\pi x^2

📌 \boxed{8\pi x^2}

📌 Question: A quantum machine learning algorithm designer is analyzing a triangular lattice structure. If the triangle has sides of $ 5x $, $ 6x $, and $ 7x $ units, what is the radius of the inscribed circle in terms of $ x $?

📌 Let the sides of the triangle be $ a = 5x $, $ b = 6x $, and $ c = 7x $. First, compute the semi-perimeter:

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