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Home » Il y a au total \( 5 \times 10 = 50 \) morceaux de gâteau. - AMAZONAWS

Il y a au total \( 5 \times 10 = 50 \) morceaux de gâteau. - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 \Delta A = A_2 - A_1 = 49\sqrt{3} - 36\sqrt{3} = 13\sqrt{3} \text{ cm}^2

📌 Thus, the area increases by \(\boxed{13\sqrt{3}}\) square centimeters.

📌 Question:** The radius of a sphere is tripled. By what factor does the volume increase?

📌 The volume \(V\) of a sphere with radius \(r\) is:

📌 Let the original radius be \(r\), so original volume is:

📌 V_1 = \frac{4}{3} \pi r^3

📌 After tripling the radius, new radius is \(3r\), so new volume \(V_2\) is:

📌 V_2 = \frac{4}{3} \pi (3r)^3 = \frac{4}{3} \pi \cdot 27r^3 = 27 \cdot \frac{4}{3} \pi r^3 = 27V_1

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