#### 150 cm²

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• \( \frac{1}{5} + \frac{1}{x} = \frac{11}{30} \).
• \( \frac{1}{x} = \frac{11}{30} - \frac{6}{30} = \frac{5}{30} = \frac{1}{6} \).
• \( 12x = 60 \), so \( x = 5 \).
• \( \pi r^2 (2r) = 288\pi \).
• \( 2r^3 = 288 \).
• \( r^3 = 144 \).

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