Question: A certain type of cylindrical bottle always has height 14 cm. During the manufacturing process however, the radius of the bottom is uniformly distributed between

A certain type of cylindrical bottle always has height 14 cm. During the manufacturing process however, the radius of the bottom is uniformly distributed between 2.3 cm and 2.7 cm. (Whatever radius is chosen for the bottom is automatically given to the rest of the cylinder too. Once the bottom is fixed, the whole can is manufactured that way.) What is the probability that the bottle has a volume of less than 275 cm3?

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