The storage of radioactive waste is an important problem in the nuclear industry. One problem that scientists must take into account is volumetric expansion.

Consider a 40.0 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 155 ∘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?