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Home » \(x - 3 = 0 \Rightarrow x = 3\) - AMAZONAWS

\(x - 3 = 0 \Rightarrow x = 3\) - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 4x^2 + 40x - 104 = 0

📌 Dividing by 4: x^2 + 10x - 26 = 0

📌 Solving quadratic: x = (-10 ± √(100 + 104)) / 2 = (-10 ± √204) / 2

📌 x ≈ 1.57 meters (only positive root valid)

📌 A cone has a height of 9 cm and a base radius of 4 cm. If the cone is sliced parallel to its base at half its height, what is the volume of the smaller cone formed?

📌 Volume of original cone = (1/3)π × (4 cm)^2 × 9 cm = 48π cubic cm

📌 Height of smaller cone = 9 cm / 2 = 4.5 cm

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