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Home » n = \frac{-2 \pm \sqrt424}2 \\ - RoadRUNNER Motorcycle Touring & Travel Magazine

n = \frac{-2 \pm \sqrt424}2 \\ - RoadRUNNER Motorcycle Touring & Travel Magazine

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 s' = 11 \text{ cm}

📌 The area of the new hexagon is:

📌 A_2 = \frac{3\sqrt{3}}{2} \times 11^2 = \frac{3\sqrt{3}}{2} \times 121 = 181.5\sqrt{3} \text{ cm}^2

📌 \Delta A = A_2 - A_1 = 181.5\sqrt{3} - 150\sqrt{3} = 31.5\sqrt{3} \text{ cm}^2

📌 Thus, the area of the hexagon increases by:

📌 \boxed{31.5\sqrt{3} \text{ cm}^2}

📌 Question:** A right circular cone has a height of 12 cm and a base radius of 5 cm. If the radius is doubled while the height remains the same, by what factor does the volume increase?

📌 The volume \( V \) of a cone is given by:

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