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A firefighter mounts the nozzle of his fire hose at the base of a burning building...

A firefighter mounts the nozzle of his fire hose at the base of a burning building so that it sprays vertically upwards. The initial radius of the hose is r1 = 4.00 cm. After quenching a hotspot at a height of h1 = 8.97 m, the firefighter adjusts the nozzle diameter so that the water hits the building at a height of h2 = 16.3 m. What is the new radius of the hose?

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