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Billy is constructing a cylindrical grain silo. The walls cost $10 per square foot. The base...

Billy is constructing a cylindrical grain silo. The walls cost $10 per square foot. The base is prebuilt, but the top costs $25 per square foot. Billy has $10,000 to spend on this project. What are the dimensions and volume of the largest (most voluminous) silo he can construct?

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