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Home » State Flags That Will Make You Stop and Look Twice—National Pride Like You’ve Never Seen! - RTA

State Flags That Will Make You Stop and Look Twice—National Pride Like You’ve Never Seen! - RTA

📅 May 11, 2026 👤 scraface

May 11, 2026

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📌 V = \frac{4}{3}\pi r^3

📌 After reducing the radius by 2, the new radius is \( r - 2 \), and the new volume is:

📌 V_{\text{new}} = \frac{4}{3}\pi (r - 2)^3

📌 The volume decrease is:

📌 \frac{4}{3}\pi r^3 - \frac{4}{3}\pi (r - 2)^3 = 128\pi

📌 Divide through by \( \frac{4}{3}\pi \):

📌 r^3 - (r - 2)^3 = 96

📌 Expand \( (r - 2)^3 \):

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