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Home » So revise: perhaps original problem meant Sₙ = 98 → n = 7 - go-checkin.com

So revise: perhaps original problem meant Sₙ = 98 → n = 7 - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 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...
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 \( (r - 2)^3 \):
r^3 - (r^3 - 6r^2 + 12r - 8) = 96
6r^2 - 12r + 8 = 96

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