[Solved] Archimedes was asked by the king to determine whether the goldsmith in making his crown had cheated the king by substituting cheaper metals.When Archimedes checked on known methods for analyzing metals, he found that all involved cutting or melting the crown.Then, the solution to the crown problem came to Archimedes suddenly when he was getting into his overly full bath and observed that the level of water rose as he stepped in.This same principle, he reasoned, could be used in determining the crown's volume.Then, legend has it that Archimedes ran naked through the streets shouting, "Eureka, Eureka," an activity which is not a requirement of this stage of rapid insight known as A) preparation. B) incubation. C) illumination. D) verification. Roses: Fragrant flowers of the genus Rosa, commonly appreciated for their beauty and used in various ceremonial and symbolic contexts. Intention To Treat: An approach in clinical trials where all participants are analyzed according to the group to which they were originally assigned, regardless of whether they completed the intervention. Experimental Protocol: A systematic plan followed in a scientific research or study. Random Sample: A subset of individuals chosen from a larger set (population) where each individual has an equal chance of being selected, allowing for unbiased statistical analysis.