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The storage of radioactive waste is a massive problem in the nuclear industry. One problem that scientists must take into account is volumetric expansion. Consider a 50.0-gallon metal canister of diameter 22.0 inches filled with a radioactive waste possessing a coefficient of volume expansion of 9.60 × 10-4 (°C)-1. This canister will be filled at room temperature (23.0°C) and lowered deep into the Earth (where temperatures can reach 142°C) for storage. If the coefficient of volume expansion of the metal is 4.10 × 10-5 (°C)-1, how much waste will spill over the top if the lid becomes loose?

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