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Home » Enter the Realm of Lord Drakkon — King of Darkness and Betrayal! - Professionaloutdoormedia

Enter the Realm of Lord Drakkon — King of Darkness and Betrayal! - Professionaloutdoormedia

📅 May 17, 2026 👤 scraface

May 17, 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

🔥 Popular Posts

Total arrangements: $56 \cdot 10 \cdot 120 = 67200$.
Thus, the number of distinct arrangements is $oxed{67200}$.
Question: A genetic modification researcher is testing 4 genetically e...
Solution: Total number of ways to choose 5 varieties from 10: $inom{1...
Number of favorable outcomes: choose 2 edited from 4 and 3 conventiona...
inom{4}{2} = rac{4 \cdot 3}{2 \cdot 1} = 6
inom{6}{3} = rac{6 \cdot 5 \cdot 4}{3 \cdot 2 \cdot 1} = 20
inom{10}{5} = rac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6}{5 \cdot 4 \cdo...
Favorable outcomes: $6 \cdot 20 = 120$.
Probability: $rac{120}{252} = rac{10}{21}$.

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