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/ r^3 - (r - 2)^3 = 96
r^3 - (r - 2)^3 = 96
February 22, 2026
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The volume decrease is:
\frac{4}{3}\pi r^3 - \frac{4}{3}\pi (r - 2)^3 = 128\pi
Divide through by \( \frac{4}{3}\pi \):
Expand \( (r - 2)^3 \):
r^3 - (r^3 - 6r^2 + 12r - 8) = 96
6r^2 - 12r + 8 = 96
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